European Journal of Pure and Applied Mathematics
https://www.ejpam.com/index.php/ejpam
<h3>Welcome</h3> <p align="justify"> </p> <p align="justify"><em>European Journal of Pure and Applied Mathematics</em> is an Open Access international, peer-reviewed electronic journal which is devoted to high-quality and original research in the fields of pure and applied mathematics and their teaching and learning. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering, natural sciences or social sciences. This journal publishes high quality researches in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, topology, number theory, nonlinear analysis, mathematical methods in operations research, theoretical statistics and econometrics, and theoretical computer science.</p> <p align="justify">Open Access which is a paradigm shift in scholarly publishing means you can publish your research so it is free to access online as soon as it is published, that is, anyone can read (and circulate) freely and cite your work. Many funding agencies mandate publishing your research open access.</p> <p align="justify"><em>Editorial Board</em></p> <p align="justify">The<strong> </strong>Editorial Board consists of prominent scientists as some are Nobel Laureates.</p> <p align="justify">See <a href="/index.php/ejpam/about/editorialTeam">editorial board</a> details.</p> <p><em>Journal Impact</em><strong> </strong></p> <ul style="list-style-type: square;"> <li class="MsoNormal">Clarivate Analytics Web of Science Citation Report: Average citation per paper (impact factor): 0.61 between 2015 and 2018 from Web of Science Core Collection. This report reflects citations to source papers indexed within Web of Science Core Collection- retrieved on May 29, 2019. </li> <li class="MsoNormal">Clarivate Analytics Web of Science Citation Report: Average citation per paper (impact factor): 4.13 between 2008 and 2018 from Web of Science Core Collection. This report also includes citations to papers published before 2015, the starting year for the inclusion of EJPAM in Clarivate Analytics, within Web of Science Core Collection- retrieved on May 29, 2019.</li> <li class="MsoNormal">Harzing's Publish or Perish software: Cites/paper (impact factor): 5.41 and h-index: 24 between 2008 and 2018 from Google Scholar- retrieved on May 29, 2019. </li> </ul> <p><em>Abstracted/Indexed in:</em></p> <p align="justify">Clarivate Analytics Emerging Sources Citation Index (ESCI), Web of Science, Mathematical Reviews, Zentralblatt MATH, EBSCO, Chambridge Scientific Abstracts, IndexCopernicus™, International Abstracts in Operations Research, Ulrich's Periodicals Directory, <a title="Arastirmax Bilimsel Yayın İndeksi" href="http://www.arastirmax.com/dergi/european-journal-pure-and-applied-mathematics" target="_blank" rel="noopener">Arastirmax</a>.</p> <p align="justify"><em>Publisher</em></p> <p align="justify">European Journal of Pure and Applied Mathematics is published by <em>New York Business Global, USA</em>.</p> <p align="justify"><em><em><span class="gmail_default"></span></em></em><em>Prestigious Contributors</em></p> <div> <div><span class="gmail_default">In addition to Nobel Laureates and Abel Prize </span>Laureates<span class="gmail_default">, m</span>any researchers, authors and Editorial Board members<span class="gmail_default"> at academic institutions such as University of Oxford, Harvard University, MIT, Stanford University, Princeton University, University of Chicago, Imperial College London and Berkeley, </span>and <span class="gmail_default">other institutions including Royal Statistical Society and Japan Statistical Society </span>have<span class="gmail_default"> been</span> contribut<span class="gmail_default">ing</span> to EJPAM<span class="gmail_default">. Join them by submitting a paper.</span></div> </div> <div> </div> <div><em>Funding<span class="gmail_default">/Granting</span> Institutions</em></div> <div><em> </em></div> <div>Over the course of journal history, a majority of papers published at EJPAM have been financially supported by numerious leading universities and funding agencies all over the world including from University of Oxford, Danish National Research Foundation and Research Council of Norway to Robertson Foundation and King Abdulaziz <span class="gmail_default">City for Science and Technology</span>, to National Natural Science Foundation of China and European Commission.</div> <div> </div> <div>ISSN:1307-5543 <br />Published by New York Business Global, Maryland, USA<br />Inaugural publication: January 2008 <br />The journal is quarterly</div>New York Business Globalen-USEuropean Journal of Pure and Applied Mathematics1307-5543<p align="justify">Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to <em>European Journal of Pure and Applied Mathematics. </em></p><p align="justify"><em>European Journal of Pure and Applied Mathematics will be Copyrihgt Holder.</em></p><p align="justify">If necessary, authors are responsible for obtaining permissions to reprint previously published figures, tables, and other material.</p>On the Nonchaotic Nature of Monotone Dynamical Systems
https://www.ejpam.com/index.php/ejpam/article/view/3492
<p>Two common types of dynamics, chaotic and monotone, are compared. It is shown that monotone maps in strongly ordered spaces do not have chaotic attractors.</p>Morris W. Hirsch
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512368068810.29020/nybg.ejpam.v12i3.3492Strategic Asset Allocation for Life Insurers with Stochastic Liability
https://www.ejpam.com/index.php/ejpam/article/view/3478
<p>The problem of strategic asset allocation and product mix choice of a life insurance<br />company is considered where account is taken of the stochastic risk associated with both assets and liabilities. Using the methods of stochastic dynamic programming we derive equations for optimal weights of both risky and riskless assets under continuous time. The resulting equations can be solved exactly for some parameter values and utility functions. When this is not possible a general perturbation expansion method is set up for which explicit solutions are derived for the first terms but the method can be generalized to any order in the expansion parameter.</p>Colin AtkinsonSutee MokkhavesaPongsathorn Ingpochai
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231315133610.29020/nybg.ejpam.v12i3.3478Decomposing the Quantile Ratio Index with Applications to Australian Income and Wealth Data
https://www.ejpam.com/index.php/ejpam/article/view/3436
The quantile ratio index is a simple and effective measure of relative inequality for income data that is resistant to outliers. A useful property of this index is investigated here: given a partition of the income distribution into a union of sets of symmetric quantiles, one can find the inequality for each set and readily combine them in a weighted average to obtain the index for the entire population. When applied to data for various years, one can track how these contributions to inequality vary over time, as illustrated here for Australian Bureau of Statistics income and wealth data.Luke Anthony PrendergastRobert G Staudte
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512368970810.29020/nybg.ejpam.v12i3.3436On Fuzzy Sets in Hypersemigroups
https://www.ejpam.com/index.php/ejpam/article/view/3504
The concept of a fuzzy set, introduced by Zadeh, was first applied by Rosenfeld to groups, then by Kuroki to semigroups. In the present paper it is applied to hypersemigroups, and some properties of fuzzy hypersemigroups are discussed.Niovi Kehayopulu
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512370972110.29020/nybg.ejpam.v12i3.3504Linear Combination and Reliability of Generalized Logistic Random Variables
https://www.ejpam.com/index.php/ejpam/article/view/3444
Experimental random data, in general, present a skewed behaviour. Thus, asymmetrical generalized distributions are of interest. The generalized logistic distributions (GLDs) are good candidates to model skewed data because their probability density functions (p.d.f.) and characteristic functions are mathematically simple. In this paper, exact expressions in terms of the H-function are, for the first time, derived for the p.d.f. and for the cummulative distribution function of the linear combination of GLDs of type IV with different location, scale and shape parameters. Also, exact and approximate expressions are derived for $R=P(X<Y)$. Numerical examples illustrate the correctness of the expressions derived.Luan Carlos de Sena Monteiro OzelimPushpa Narayan Rathie
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512372273310.29020/nybg.ejpam.v12i3.3444Labelled Maximal Tubings on Paths and Graph Associahedra
https://www.ejpam.com/index.php/ejpam/article/view/3448
<p>We determine the triangulation of a cyclohedron compatible with the Tamari order<br />on its faces. We dene a name of a tubing on a path and a plumbing leading us to construct the dendriform algebra of the collection of maximal tubings on paths. Moreover, we give an operad structure of associahedra and a module structure of cyclohedra via tubings. We dene labelled maximal tubings on paths and give to an application of tubings in homological algebra.</p>Sabri Kaan GürbüzerBedia Akyar
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512373474810.29020/nybg.ejpam.v12i3.3448Topologies Induced by Neighborhoods of a Graph Under Some Binary Operations
https://www.ejpam.com/index.php/ejpam/article/view/3464
<div>Let G = (V (G), E(G)) be any undirected graph. Then G induces a topology τ_G on V (G) with base consisting of sets of the form F_G[A] = V (G)\N_G[A], where N_G[A] = A ∪ { x : xa ∈ E(G) for some a ∈ A } and A ranges over all subsets of V (G). In this paper, we describe the topologies induced by the corona, edge corona, disjunction, symmetric difference, Tensor product, and the strong product of two graphs by determining the subbasic open sets.</div>Anabel Enriquez GamorezCaen Grace NiangaSergio Canoy Jr.
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512374975510.29020/nybg.ejpam.v12i3.3464Existence and Uniqueness of Solutions for the System of First-order Nonlinear Differential Equations with Three-point and Integral Boundary Conditions
https://www.ejpam.com/index.php/ejpam/article/view/3433
<p>In the paper, the existence and uniqueness of the solutions for the system of the nonlinear first-order ordinary differential equations with three-point and integral boundary conditions are studied. The Green function is constructed and the considered problem is reduced to the equivalent integral equation. The existence and uniqueness of the solutions for the given problem are analyzed by using the Banach contraction principle. The Schaefer’s fixed point theorem is then<br />used to prove the existence of the solutions. Finally, the examples are given to verify the given theorems.</p>Misir MardanovYagub SharifovKamala IsmayilovaSevinc Zamanova
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512375677010.29020/nybg.ejpam.v12i3.3433Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
https://www.ejpam.com/index.php/ejpam/article/view/3430
<p>In this paper, we propose the solution of a few non linear partial di¤erential equa-<br />tions modelling di¤usion, convection and reaction problems Cauchy type. The Laplace SBA method based on combination of Laplaces transform, Adomian Decomposition Method(ADM), Picard prnciple and successive approximations is used for solving these equations.</p>Youssouf PareMinoungou YoussoufAbdoul Wassiha Nebie
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512377178910.29020/nybg.ejpam.v12i3.3430Divergence Measures Estimation and its Asymptotic Normality Theory in the Discrete Case
https://www.ejpam.com/index.php/ejpam/article/view/3437
In this paper we provide the asymptotic theory of the general of φ-divergences measures, which include the most common divergence measures : R´enyi and Tsallis families and the Kullback-Leibler measure. We are interested in divergence measures in the discrete case. One sided and two-sided statistical tests are derived as well as symmetrized estimators. Almost sure rates of convergence and asymptotic normality theorem are obtained in the general case, and next particularized for the R´enyi and Tsallis families and for the Kullback-Leibler measure as well. Our theoretical results are validated by simulations.Amadou Diadie BaGane Samb Lo
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512379082010.29020/nybg.ejpam.v12i3.3437On Varieties of Pseudo Hyper GR-ideals of Pseudo Hyper GR-algebras
https://www.ejpam.com/index.php/ejpam/article/view/3431
<p>This study is based on the structure of pseudo hyper GR-algebra, an<br />algebra that is partially related on some class of hyper BCI-algebras.<br />This allows us to create a new structure and how this two algebras<br />are related to each other. A pseudo hyper GR-algebra involves two<br />hyper operations and a set of axioms that come in pairs or a combina-<br />tion of both making it interesting like some algebras established. This<br />paper focuses on some properties of pseudo hyper GR-algebras and its<br />ideals. Moreover, pseudo hyper GR-ideals were dened and classied to<br />determine their relationship to each other.</p>Ramises G. Manzano, Jr.Gaudencio C. Petalcorin, Jr.
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512382183310.29020/nybg.ejpam.v12i3.3431Stochastic Approach in Epidemic Modeling Using the SEIRS
https://www.ejpam.com/index.php/ejpam/article/view/3400
The study of infectious diseases represents one of the oldest and richest sectors of biomathematics. The transmission dynamics of these diseases are still a major problem in mathematical epidemiology. In this work, we propose a stochastic version of a SEIRS epidemiological model for infectious diseases evolving in a random environment for the propagation of infectious diseases. This random model takes into account the rates of immigration and mortality in each compartment and the spread of these diseases follows a four-state Makovian process. We first study the stability of the model and then estimate the marginal parameters of each disease state over time. Real measles data are applied to the model.Hay Yoba TalkibingBarro DiakaryaOuoba Fabrice
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512383484510.29020/nybg.ejpam.v12i3.3400Inequalities for the Taylor Coefficients of Spiralike Functions Involving q-differential Operator
https://www.ejpam.com/index.php/ejpam/article/view/3429
Making use of q-analogue of the well-known differential operator, we provide a formal extension of a bi-univalent spiralike and bi-univalent strongly spiralike functions. We obtain the inequalities for the Maclaurin-Taylor coefficients of the functions belonging to the defined subclasses. Further we have provided some applications of our main results.K. Amarender ReddyKadhavoor Ragavan KarthikeyanG. Murugusundaramoorthy
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512384685610.29020/nybg.ejpam.v12i3.3429Soft Semi Local Functions in Soft Ideal Topological Spaces
https://www.ejpam.com/index.php/ejpam/article/view/3442
In this paper, we define a soft semi local function (F, E) ∗s ( ˜I, τ ) by using semi open soft sets in a soft ideal topological space (X, τ, E, ˜I). This concept is discussed with a view to find new soft topologies from the original one, called ∗s-soft topology. Some properties and characterizations of soft semi local function are explored. Finally, the notion of soft semi compatibility of soft ideals with soft topologies is introduced and some equivalent conditions concerning this topic are established here.Fatouh GharibAlaa Mohamed Abd El-latif
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512385786910.29020/nybg.ejpam.v12i3.3442Simultaneous Null Controllability for Two Stroke Nonlinear Systems: Application to the Sentinel of Detection in Population Dynamics Model with Incomplete Data
https://www.ejpam.com/index.php/ejpam/article/view/3459
This paper deals with the simultaneous null controllability for some nonlinear two stroke systems. We shall solve this problem by transforming the simultaneous null controllability of uncoupled initial systems into a null controllability of a coupled system via a change of variables. This last problem is solved thanks to a global Carleman inequality, appropriates estimates adapted to the system and via some fixed point theorems. The obtained results are used to build a simultaneous sentinel of detection in a population dynamics model with incomplete data.Cédric Kpèbbèwèwèrè SomeSomdouda Sawadogo
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512387089210.29020/nybg.ejpam.v12i3.3459On β-Open Sets and Ideals in Topological Spaces
https://www.ejpam.com/index.php/ejpam/article/view/3438
<p>Let X be a topological space and I be an ideal in X. A subset A of a topological space X is called a β-open set if A ⊆ cl(int(cl(A))). A subset A of X is called β-open with respect to the ideal I, or βI -open, if there exists an open set U such that (1) U − A ∈ I, and (2) A − cl(int(cl(U))) ∈ I. A space X is said to be a βI -compact space if it is βI -compact as a subset. An ideal topological space (X, τ, I) is said to be a cβI -compact space if it is cβI -compact as a subset. An ideal topological space (X, τ, I) is said to be a countably βI -compact space if X is countably βI -compact as a subset. Two sets A and B in an ideal topological space (X, τ, I) is said to be βI -separated if clβI (A) ∩ B = ∅ = A ∩ clβ(B). A subset A of an ideal topological space (X, τ, I) is said to be βI -connected if it cannot be expressed as a union of two βI -separated sets. An ideal topological space (X, τ, I) is said to be βI -connected if X βI -connected as a subset. In this study, we introduced the notions βI -open set, βI -compact, cβI -compact, βI -hyperconnected, cβI -hyperconnected, βI -connected and βI -separated. Moreover, we investigated the concept β-open set by determining some of its properties relative to the above-mentioned notions.</p>Glaisa T. CatalanRoberto N. PaduaMichael Jr. Patula Baldado
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512389390510.29020/nybg.ejpam.v12i3.3438Intuitionistic Fuzzy Ideals with Thresholds (α, β] in LA-rings
https://www.ejpam.com/index.php/ejpam/article/view/3441
In this paper, we give characterizations of regular (intra-regular, both regular and intra-regular) LA-rings by the properties of intuitionistic fuzzy (left, right, quasi-, bi-, generalized bi-) ideals with thresholds (α, β].Nasreen KausarBadar ul IslamSyed Amjad AhmadMuhammad Azam Waqar
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512390694310.29020/nybg.ejpam.v12i3.3441Global Dynamics of an Hepatitis C Virus Mathematical Cellular Model with a Logistic Term
https://www.ejpam.com/index.php/ejpam/article/view/3454
<p>In this paper, the aim is to analyze the global dynamics of Hepatitis C Virus (HCV) cellular mathematical model under therapy with uninfected hepatocytes proliferation. We prove that the solution of the model with positive initial values are global, positive and bounded. In addition, firstly we show that the model is locally asymptotically stable at free virus equilibrium and also at infected equilibrium. Secondly we show that the model is globally asymptotically stable at the free virus equilibrium by using an appropriate lyapunov function.</p>Alexis NangueThiery DonfackDavid Avava Ndode Yafago
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512394495910.29020/nybg.ejpam.v12i3.3454Operation on Fine Topology
https://www.ejpam.com/index.php/ejpam/article/view/3449
<p>This paper introduces the concept of an operation $\gamma$ on $\tau_f$. Using this operation, we define the concept of $f_\gamma$-open sets, and study some of their related notions. Also, we introduce the concept of $f_\gamma g$.closed sets and then study some of its properties. Moreover, we introduce and investigate some types of $f_\gamma$-separation axioms and $f_{\gamma\beta}$-continuous functions by utilizing the operation $\gamma$ on $\tau_f$. Finally, some basic properties of functions with $f_\beta$-closed graphs have been obtained.</p>P. L. PowarBaravan AsaadK. RajakR. Kushwaha
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512396097710.29020/nybg.ejpam.v12i3.3449Cost Effective Domination in the Join, Corona and Composition of Graphs
https://www.ejpam.com/index.php/ejpam/article/view/3443
<p>Let $G$ be a connected graph. A cost effective dominating set in a graph $G$ is any set $S$ of vertices in $G$ satisfying the condition that each vertex in $S$ is adjacent to at least as many vertices outside $S$ as inside $S$ and every vertex outside $S$ is adjacent to at least one vertex in $S$. The minimum cardinality of a cost effective dominating set is the cost effective domination number of $G$. The maximum cardinality of a cost effective dominating set is the upper cost effective domination number of $G$. A cost effective dominating set is said to be minimal if it does not contain a proper subset which is itself a cost effective dominating in $G$. The maximum cardinality of a minimal cost effective dominating set in a graph $G$ is the minimal cost effective domination number of $G$.</p><p>In this paper, we characterized the cost effective dominating sets in the join, corona and composition of graphs. As direct consequences, we the bounds or the exact cost effective domination numbers, minimal cost effective domination numbers and upper cost effective domination numbers of these graphs were obtained.</p>Ferdinand P. JamilHearty Nuenay Maglanque
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-2512397899810.29020/nybg.ejpam.v12i3.3443Some Properties of Fuzzy Supra Soft Topological Spaces
https://www.ejpam.com/index.php/ejpam/article/view/3440
<p>In this paper, we introduce the notion of fuzzy supra soft topological spaces, which is a generalization to the notion of fuzzy soft topological spaces and supra soft topological spaces. Also, we consider the notion of fuzzy supra soft continuity as a generalization to fuzzy soft continuity, supported by examples and counterexamples. These examples illustrating the notions used in the paper are included. So we can see that all these concepts are independent from each other or<br />does implies the other. Finally, as a direct application to fuzzy supra soft topological spaces, we introduce the notion of fuzzy supra soft compact (resp. fuzzy supra soft lindel ̈of) spaces to such spaces as a generalization to fuzzy soft compactness. Furthermore, we establish some interesting properties of this notion.</p>Alaa Abd El-latif
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-25123999101710.29020/nybg.ejpam.v12i3.3440Twice Order Slip on the Flows of Fractionalized MHD Viscoelastic Fluid
https://www.ejpam.com/index.php/ejpam/article/view/3455
The objective of this article is to investigate the effect of twice order slip on the MHD flow of fractionalized Maxwell fluid through a permeable medium produced by oscillatory movement of an infinite bottom plate. The governing equations are developed by fractional calculus approach. The exact analytical results for velocity field and related shear stress are calculated using Laplace transforms and presented in terms of generalized M-function satisfying all imposed initial and boundary conditions. The flow results for fractionalized Maxwell, traditional Maxwell and Newtonian fluid with and without slips, in the presence and absence of magnetic and porous effects are derived as the limiting cases. The impact of fractional parameter, slip coefficients, magnetic force and porosity parameter over the velocity field and shear stress are discussed and analyzed through graphical illustrations. The outcomes demonstrate that the speed comparing to streams with slip condition is lower than that for stream with non-slip conditions, and the speed with second-slip condition is lower than that with first-order slip condition.Muhammad JamilIsrar Ahmed
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231018105110.29020/nybg.ejpam.v12i3.3455Geostatistical Analysis with Copula-based Models of Madograms, Correlograms and Variograms
https://www.ejpam.com/index.php/ejpam/article/view/3389
This paper investigates models of stochastic dependence with geostatistical tools. Specifically, we use copulas to propose new models of stochastic spatial tools such as variograms, correlograms and the madograms. Copula versions of covariograms are provided both in second stationnary and intrinsic frameworks. Moreover, some usual families of models of variograms are claried with the corresponding parameters.Fabrice OuobaBarro DiakaryaHay Yoba Talkibing
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231052106810.29020/nybg.ejpam.v12i3.3389Some Theorems on Tauber's Generalized Stirling, Lah and Bell Numbers
https://www.ejpam.com/index.php/ejpam/article/view/3424
In this paper, some properties for Tauber's generalized Stirling and Lah numbers are obtained including other forms of recurrence relations, orthogonality and inverse relations, rational generating function and explicit formual in symmetric function form. Moreover, a new explicit formula is derived, which is analogous to the Qi formula.Roberto Bagsarsa CorcinoCristina Bordaje CorcinoGladys Jane Rama
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231069108110.29020/nybg.ejpam.v12i3.3424Pre-irresolute Functions in Closure Spaces
https://www.ejpam.com/index.php/ejpam/article/view/3317
The preopen sets are used to define pre-open functions, preclosed functions, pre-continuous functions, contra-pre-continuous functions and pre-irresolute functions which are investigated. They are also used to introduce a new type of connectedness and compactness in closure spaces, they called p-connectedness and p-compactness respectively.Halgwrd M. DarweshSarhad F. Namiq
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231082109510.29020/nybg.ejpam.v12i3.3317Application of the SBA Method to Solve the Nonlinear Biological Population Models
https://www.ejpam.com/index.php/ejpam/article/view/3409
This paper presents numerical solution of some nonlinear degenerate parabolic equations arising in the spatial di¤usion of biological populations. The SBA method based on combination of Adomian decomposition method, principle of Picard and successive approximations is used for solving these equations. The analytical obtained solutions show that the SBA method leads to more accurate results.Stevy Mikamona MayemboJoseph Bonazebi-YindoulaYoussouf PareGabriel Bissanga
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231096110510.29020/nybg.ejpam.v12i3.3409Cubic Transmuted Uniform Distribution: An Alternative to Beta and Kumaraswamy Distributions
https://www.ejpam.com/index.php/ejpam/article/view/3410
<p>In this article, a new cubic transmuted (CT) family of distributions has been proposed by adding one more parameter. We have introduced cubic transmuted uniform (CTU) distribution by using the proposed class. We have also provided a detail description of the statistical properties of the proposed CTU distribution along with its estimation and real-life application.</p>Md. Mahabubur RahmanBander Al-ZahraniSaman Hanif ShahbazMuhammad Qaiser Shahbaz
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231106112110.29020/nybg.ejpam.v12i3.3410The r-Dowling Numbers and Matrices Containing r-Whitney Numbers of the Second Kind and Lah Numbers
https://www.ejpam.com/index.php/ejpam/article/view/3494
This paper derives another form of explicit formula for $(r,\beta)$-Bell numbers using the Faa di Bruno's formula and certain identity of Bell polynomials of the second kind. This formula is expressed in terms of the $r$-Whitney numbers of the second kind and the ordinary Lah numbers. As a consequence, a relation between $(r,\beta)$-Bell numbers and the sums of row entries of the product of two matrices containing the $r$-Whitney numbers of the second kind and the ordinary Lah numbers is established. Moreover, a $q$-analogue of the explicit formula is obtained.Roberto Bagsarsa CorcinoCharles MonteroMaribeth MonteroJay Ontolan
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231122113710.29020/nybg.ejpam.v12i3.3494A Characterization of Derivations in Prime Rings with Involution
https://www.ejpam.com/index.php/ejpam/article/view/3496
<br />The purpose of this paper is to investigate $*$-differential identities satisfied by pair of derivations on prime rings with involution. In particular, we prove that if a 2-torsion free noncommutative ring $R$ admit nonzero derivations $d_1, d_2$ such that $[d_1(x), d_2(x^*)]=0$ for all $x\in R$, then $d_1=\lambda d_2$, where $\lambda\in C$. Finally, we provide an example to show that the condition imposed in the hypothesis of our results are necessary.Shakir AliM. Rahman MozumderAdnan AbbasiM. Salahuddin Khan
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231138114810.29020/nybg.ejpam.v12i3.3496MHD Flows of Second Grade Fluid Through the Moving Porous Cylindrical Domain
https://www.ejpam.com/index.php/ejpam/article/view/3426
The flows of Magnetohydrodynamics(MHD) second grade fluid between two infinite porous coaxial circular cylinders are studied. At time t=0^+, the inner cylinder begins to rotate around its axis and to slide along the same axis due to torsional and longitudinal time dependent shear stresses and the outer cylinder is also rotate around its axis and to slide along the same axis with acceleration. The exact solutions obtained with the help of discrete Laplace and finite Hankel transform, satisfy all imposed initial and boundary conditions. The solution presented in convolution product of Laplace transform . The corresponding solutions for second grade and Newtonian fluids are also obtained as limiting cases with and without MHD effect. Finally, the influence of pertinent parameters on the velocity components and shear stresses, as well as a comparison among, second grade and Newtonian fluids with and without MHD is also analyzed by graphical illustrations.Muhammad JamilMuhammad Zafarullah
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231149117510.29020/nybg.ejpam.v12i3.3426Voting Method Based on an Average Gap Assessment
https://www.ejpam.com/index.php/ejpam/article/view/3452
<p>The theory of social choice is the study of voting methods. In the literature many<br />studies have been conducted for the development of a fair voting system, that is to say a voting method that allows to aggregate the individual preferences in a collective preference representing in the most possible faithfull way individual preferences. Yet some voting methods do not allow to obtain a consensus. So there are a lot of paradoxes in electoral systems and related results in the theory of social choice are also paradoxical. This is the case, for example, with Arrow’s theorem showing that no voting method can simultaneously verify a restricted list of roperties that are desirable in a democratic political system. That is to mean that the search for a system that makes it possible to reach a consensus remains a concern in the theory of social choice. In this article we have combined various voting methods based on grading, scoring or approving to contribute to literature with a new voting system filling fair properties.</p>Zoinabo SavadogoAbdoulaye CompaorePegdwinde Ousseni Fabrice Ouedraogo
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231176118610.29020/nybg.ejpam.v12i3.3452On C-co-epi-retractable Modules
https://www.ejpam.com/index.php/ejpam/article/view/3461
<p>In this paper, we introduce the notion of c-co-epi-retractable modules. An R-module M is called c-co-epi-retractable if it contains a copy of its factor module by a complement submodule. The ring R is called c-co-pri if RR is c-co-epi-retractable. Conditions are found under which, a c-coepi-retractable module is extending, retractable, semi-simple, quasi-injective, injective and simple. Also, we investigate when c-co-epi-retractable modules have finite uniform dimension. Finally, right SI-rings, semi-simple artinian rings and quasi-Frobenius rings are characterized in termes of c-co-epi-retractable modules.</p>Abdoul Djibril DialloPapa Cheikhou DiopMamadou Barry
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231187119810.29020/nybg.ejpam.v12i3.3461Hybrid Third Derivative Block Method for the Solution of General Second Order Initial Value Problems with Generalized One Step Point
https://www.ejpam.com/index.php/ejpam/article/view/3425
<p>This paper deals with two-step hybrid block method with one generalized off-step points for solving second order initial value problem. In derivation of this method, power series of order nine are interpolated at the first two step points while its second and third derivatives are collocated at all point in the selected interval. The new developed method is employed to solve several problems of second order initial value problems. Convergence analysis of the new method alongside numerical procedure is established. The performance of the proposed method is found to be more accurate than existing method available in the literature when solving the same problems.</p>Ra'ft AbdelrahimZ. OmarO. Ala’yedB. Batiha
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231199121410.29020/nybg.ejpam.v12i3.3425Convergence of an Exponential Runge–Kutta Method for Non-smooth Initial Data
https://www.ejpam.com/index.php/ejpam/article/view/3423
<p>The paper presents error bounds for the second order exponential Runge-Kutta method for parabolic abstract linear time-dependent differential equations incorporating non-smooth initial data. As an example for this particular type of problems, the paper presents a spatial discretization of a partial integro-differential equation arising in financial mathematics, where non-smooth initial conditions occur in option pricing models. For this example, numerical studies of the convergence rate are given</p>Muhammad Asif GondalInayatur RehmanAsima Razzaque
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231215123010.29020/nybg.ejpam.v12i3.3423Supra b Maps via Topological Ordered Spaces
https://www.ejpam.com/index.php/ejpam/article/view/3483
<p>The authors utilize the notions of increasing, decreasing and balancing supra $b$-open sets to introduce and study several types of supra continuous, supra open, supra closed and supra homeomorphism maps in supra topological ordered spaces. They give the equivalent conditions for each one of these notions and illustrate the relationships among them with the help of examples. Apart from that, they investigate under which conditions these maps preserve some separation axioms between supra topological ordered spaces.</p>Baravan A. AsaadMohammed K. TahatTareq M. Al-shami
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231231124710.29020/nybg.ejpam.v12i3.3483On Companion B-algebras
https://www.ejpam.com/index.php/ejpam/article/view/3495
<p>This study introduces the concept of companion \emph{B}-algebra and establishes some of its properties. Also, this paper introduces the notions of $\odot$-subalgebra and $\odot$-ideal of a companion \emph{B}-algebra and investigates their relationship. Furthermore, this study establishes some homomorphic properties of $\odot$-subalgebra and $\odot$-ideal.</p>Lynnel NaingueJocelyn Vilela
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231248125910.29020/nybg.ejpam.v12i3.3495Comparison of SBA Numerical Method and Method of Separation of Variables (Fourier) on Wawe Equations
https://www.ejpam.com/index.php/ejpam/article/view/3471
<p>In this paper, our aim is to use the SBA numerical method (combination of Adomian method and Picard successive approximations) and Fourier method or method of separation of variables to construct the solution of some wave equations. We compare the two methods and apply them to some wave equations.</p>Rasmane YaroYoussouf PareBakari Abbo
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231260127610.29020/nybg.ejpam.v12i3.3471Boundary Sentinel with Given Sensitivity in Population Dynamics Problem and Parameters Identification
https://www.ejpam.com/index.php/ejpam/article/view/3479
<p>The notion of sentinels with given sensitivity was introduced by J.L.Lions [11] in order to identify parameters in the problem of pollution ruled by a parabolic equation. He proves that the existence of such sentinels is reduced to the solution of exact controllability problem with constraints on the state. In population dynamics model, we reconsider this notion of sentinels in a more general framework. We prove the existence of the boundary sentinels by solving a boundary<br />null-controllability problem with constraint on the control. Our results use Carleman inequality which is adapted to the constraint.</p>Mifiamba SomaSomdouda Sawadogo
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231277129610.29020/nybg.ejpam.v12i3.3479On a System of Linear Singular Partial Differential Equations with Weight Functions
https://www.ejpam.com/index.php/ejpam/article/view/3498
<p>Let X be a Banach space, Ω an open bounded subset of X, and Y a complex Banach space. We consider a Voleviˇc system of singular linear partial differential equations of the form t ∂ui ∂t = X N j=1 aij (t, x)uj (t, x) + X (j,k)∈N(i) bjk(t, x)((µ0(t)D) kuj (t, x) · x (k) k )(j,k) + gi(t, x), (1) 1 ≤ i ≤ N, in the unknown function u = (u1, u2, ..., uN ) ∈ Y N of t ≥ 0 and x ∈ Ω, where aij , bjk ∈ C, xk = (x, ..., x) (x is k times) D denotes the Frechet differentiation with respect to x, and N (i) = {(j, k) : j and k are integers, 1 ≤ j ≤ N, 0 < k ≤ n(i, j)}, (2) n(i, j) = n(i) − n(j) + 1, where n(i), i = 1, 2, ..., N, are nonnegative integers. The map µ0 belongs to C 0 ([0, T], C). We express growth estimates in terms of weight functions and we establish an existence and uniqueness theorem for our system in the class of ultradifferentiable maps with respect to the space variable x.</p><p> </p><p> </p>Euler Yoland Bancayrin Guerrero
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-07-252019-07-251231297131410.29020/nybg.ejpam.v12i3.3498Neighborhood Connected k-Fair Domination Under Some Binary Operations
https://www.ejpam.com/index.php/ejpam/article/view/3506
Let G=(V(G),E(G)) be a simple graph. A neighborhood connected k-fair dominating set (nckfd-set) is a dominating set S subset V(G) such that |N(u) intersection S|=k for every u is an element of V(G)\S and the induced subgraph of S is connected. In this paper, we introduce and invistigate the notion of neighborhood connected k-fair domination in graphs. We also characterize such dominating sets in the join, corona, lexicographic and cartesians products of graphs and determine the exact value or sharp bounds of their corresponding neighborhood connected k-fair domination number.Wardah Masanggila Bent-UsmanRowena IslaSergio Canoy
Copyright (c) 2019 European Journal of Pure and Applied Mathematics
2019-08-022019-08-021231337134910.29020/nybg.ejpam.v12i3.3506