https://www.ejpam.com/index.php/ejpam/issue/feedEuropean Journal of Pure and Applied Mathematics2020-09-03T11:32:00+00:00Editorial Office, EJPAMeditor@ejpam.comOpen Journal Systems<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, SCOPUS, Mathematical Reviews, 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 </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>https://www.ejpam.com/index.php/ejpam/article/view/3792Scenario Tree and Adaptive Decision Making on Optimal Type and Timing for Intervention and Social-economic Activity Changes to Manage the COVID-19 Pandemic2020-07-31T19:29:06+00:00Kyeongah Nahknah@yorku.caShengyuan Chenchensy@mathstat.yorku.caYanyu Xiaoxiaoyu@ucmail.uc.eduBiao Tangbtang66@yorku.caNicola Bragazzirobertobragazzi@gmail.comJane Heffernanjmheffer@yorku.caAli Asgaryasgary@yorku.caNicholas Ogdennicholas.ogden@canada.caJianhong Wuwujh@mathstat.yorku.ca<p>We introduce a novel approach to inform the re-opening plan followed by a postpandemic lockdown by integrating a stochastic optimization technique with a disease transmission model. We assess Ontarios re-opening plans as a case-study. Taking into account the uncertainties in contact rates during different re-opening phases, we find the optimal timing for the upcoming re-opening phase that maximizes the relaxation of social contacts under uncertainties, while not overwhelming the health system capacity before the arrival of effective therapeutics or vaccines.</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3727Modelling and Simulating a Transmission of COVID-19 Disease: Niger Republic Case2020-07-31T14:45:30+00:00Abba Mahamane Oumaroubsaley@yahoo.frSaley Bissorachtaib@usa.com<p>This paper focuses on the dynamics of spreads of a coronavirus disease (Covid-19).<br />Through this paper, we study the impact of a contact rate in the transmission of the disease. We determine the basic reproductive number R0, by using the next generation matrix method. We also determine the Disease Free Equilibrium and Endemic Equilibrium points of our model. We prove that the Disease Free Equilibrium is asymptotically stable if R0 < 1 and unstable if R0 > 1. The asymptotical stability of Endemic Equilibrium is also establish. Numerical simulations are made to show the impact of contact rate in the spread of disease.</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3687E-J Summability of Orthogonal Series2020-07-31T19:29:53+00:00Fatma Aydın Akgünfatma.aydin.akgun@gmail.comBilly E. Rhoadesrhoades@indiana.eduIn this paper we obtain a sufficient condition for the E-J summability of certain orthogonal series. Our results generalize the corresponding theorems for ordinary Hausdorff summability obtained by Kalaivana and Youvaraj.2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3705Identities on Generalized Apostol-Genocchi Numbers and Polynomials Involving Binomial Coefficients2020-07-31T14:45:30+00:00Nestor Gonzales Acalanestor.acala@gmail.comEdward Rowe Aleluyaeraleluya@gmail.com<p>In [11], Jolany et al. defined generalizations of Apostol-Genocchi numbers and polynomials. Most identities on classical or generalized Apostol-Genocchi numbers and polynomials are related to the well-known Bernoulli and Euler numbers and polynomials. However, in this paper, identities on generalized Apostol-Genocchi numbers and polynomials which are not associated with the Bernoulli- and Euler-types are introduced. Specifically, identities involving binomial coefficients and some integral identities which only relate generalized Apostol-Genocchi numbers and polynomials are established.</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3698Existence and Uniqueness of Solutions for the First Order Non-linear Differential Equations with Multi-point Boundary Conditions2020-07-31T18:44:35+00:00M.J. Mardanovhualiyev@beu.edu.azY.A. Sharifovsharifov22@rambler.ruHumbet Aliyevhualiyev@beu.edu.azR.A. Sardarovasharifov22@rambler.ru<p>This article discusses the existence and uniqueness of solutions for the system of non-linear first order ordinary differential equations with multipoint boundary conditions. The Green function is constructed, and the problem is reduced to the equivalent integral equation. Existence and uniqueness of the solution to this problem is studied using the Banach contraction mapping principle and Schaefer’s fixed point theorem.</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3743Limit Points and Separation Axioms with Respect to Supra Semi-open Sets2020-07-31T20:28:04+00:00Tareq M. AL-shamitareqalshami83@gmail.comE. A. Abo-Tabla.adotabl@qu.edu.saBaravan Assadbaravan.asaad@uoz.edu.krdMohamed Arahetmalroheet@yahoo.com<p>Sometimes we need to minimize the conditions of topology for different reasons such as obtaining more convenient structures to describe some real-life problems, or constructing some counterexamples whom show the interrelations between certain topological concepts, or preserving some properties under fewer conditions of those on topology. To contribute this research area, in this paper, we establish some new concepts on supra topological spaces using supra semi-open sets and give some characterizations of them. First, we introduce a concept of supra semi limit points of a set and study main properties, in particular, on the spaces that possess the difference property. Second, we define and investigate new separation axioms, namely supra semi Ti-spaces (i = 0, 1, 2, 3, 4) and give complete descriptions for each one of them. We provide some examples to show the relationships between them as well as with STi-space.</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3676On Multi Poly-Genocchi Polynomials with Parameters a, b and c2020-07-31T19:20:14+00:00Roberto Bagsarsa Corcinorcorcino@yahoo.comMark Laurentelaurente.mark@msumain.edu.phMary Ann Ritzell Vegaritzellvega@yahoo.comMost identities of Genocchi numbers and polynomials are related to the well-known Benoulli and Euler polynomials. In this paper, multi poly-Genocchi polynomials with parameters a, b and c are defined by means of multiple parameters polylogarithm. Several properties of these polynomials are established including some recurrence relations and explicit formulas.2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3752Fuzzy Duplex UP-Algebras2020-07-31T20:29:48+00:00Aiyared Iampanaiyared.ia@up.ac.thMetawee Songsaengmetawee.faith@gmail.comGhulam Muhiuddinchishtygm@gmail.com<p>Using the concept of a neutrosophic quadruple number to a fuzzy duplex number, we introduce the notion of a fuzzy duplex UP-algebra, and investigate some related properties. Also, we find the necessary condition for a fuzzy duplex UP-set to be a fuzzy duplex UP-algebra. Furthermore, we study the relationship between special subsets of a UP-algebra and special subsets of a fuzzy duplex UP-set.</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3742Adjunction and Localization in the Category A-Alg of A-Algebras2020-09-02T12:30:16+00:00Moussa Thiawthiawskr@gmail.comMohamed Ben Faraj Ben Maaouiamohamed-ben.maaouia@ugb.edu.sn<p>In our paper [3] we built the functor Ext dn S-1A(-; S-1B) in the category A-Alg. The purpuse of this paper is to show that if A is a ring not necessary commutative, S a central multiplicatively closed subset of A and B a (A-A)-bialgebra, then T orS-1An (-; S Ext -1A(-; S -1B)o-1B) : Alg-S-1A S-1A-Modo : dn Sis an adjunction</p>2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3704Hyper Homomorphism and Hyper Product of Hyper UP-algebras2020-07-31T14:45:30+00:00Rohaima M. Amairantorohaima87@yahoo.comRowena Islarowena.isla@g.msuiit.edu.phIn this paper, we investigate the concept of regular congruence relation on hyper UP-algebras and establish some homomorphism theorems on such algebras. We also examine the notion of hyper product of hyper UP-algebras.2020-07-31T14:45:30+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3735The Structure of Pseudo-BF /BF*-algebra2020-07-31T14:45:31+00:00Hessah M. Al-Malkidr_reham_z@yahoo.comDeena S. Al-Kadidr_reham_z@yahoo.com<p>In this paper, we study the structure of pseudo-BF/BF*-algebra as a generalization of BF-algebra. We show how pseudo-BF/BF*-algebra and pseudo-BCK-algebra are related. Westudy some elementary properties related to pseudo-BF-algebra and pseudo-BF*-algebra.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3764New Topology on Omega Algebra2020-07-31T14:45:31+00:00Mesfer Hayyan Alqahtanimesfer_alqhtani@hotmail.comCenap Özelcozel@kau.edu.saIbtesam Alshammariiealshamri@hotmail.comThe purpose of this paper is to define a new topology called omega topology over a new structure called omega algebra and discuss some of its topological properties. Four different examples of omega topology are introduced. Furthermore, we define a new topology over a semiring in conventional algebra and we study the relationship between omega topology and weaker kinds of normality.2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3763More on Perfect Roman Domination in Graphs2020-07-31T14:45:31+00:00Leonard Mijares Paletaleonard.paleta@g.msuiit.edu.phFerdinand Paler Jamilferdinand.jamil@g.msuiit.edu.ph<div>A perfect Roman dominating function on a graph G = (V (G), E(G)) is a function f : V (G) → {0, 1, 2} for which each u ∈ V (G) with f(u) = 0 is adjacent to exactly one vertex v ∈ V (G) with f(v) = 2. The weight of a perfect Roman dominating function f is the value ωG(f) = Pv∈V (G) f(v). The perfect Roman domination number of G is the minimum weight of a perfect Roman dominating function on G. In this paper, we study the perfect Roman domination numbers of graphs under some binary operation</div>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3663Approximation of a Function in Hölder Class Using Double Karamata (Kλ,μ) Method2020-07-31T20:33:02+00:00H. K. Nigamh.ahmad043@gmail.comMd. Hadishh.ahmad043@gmail.com<p>In this paper, we establish a new theorem on the best approximation of a function of two variables belonging to H ̈older class by double Karamata (Kλ,μ) means of its double Fourier series.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3762On Solvability of p- harmonic Type Equations in Grand Sobolev Spaces2020-09-03T11:32:00+00:00Alik Malik Najafovaliknajafov@gmail.comSain T Alekberlisain.elekberli@bk.ru<p>In this paper with the help of variational method existence and uniqueness of solution of p-harmonic type equations in grand Sobolev spaces is studied.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3757A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order2020-07-31T14:45:31+00:00Nestor Gonzales Acalanestor.acala@gmail.com<p>Most unifications of the classical or generalized Bernoulli, Euler, and Genocchi polynomials involve unifying any two or all of the three special types of polynomials (see, [1, 4, 9, 18, 19,21, 24–26, 30, 31]). In this paper, we introduce a new class of multiparameter Fubini-type gener-alized polynomials that unifies four families of higher order generalized Apostol-type polynomials such as the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Fubini polynomials. Moreover, we obtain an explicit formula of these unified generalized polynomials in terms of the Gaussian hypergeometric function, and establish several symmetry identities.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3769On the Symmetric Block Design with Parameters (210,77,28) Admitting a Frobenius Group of Order 572020-07-31T19:32:29+00:00Menderes Gashimenderes_gashi@yahoo.com<p>In this paper we have proved that for a putative symmetric block design D with parameters (210,77,28), admitting a Frobenius group G = (hρ, μ|ρ19 = μ3 = 1, ρμ = ρ7) of order 57, there are exactly six possible orbit structures up to isomorphism with the orbit distribution [1; 19; 19; 19; 19; 19; 19; 19; 19; 19; 19; 19].</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3759Almost Bi-Γ-Ideals and Fuzzy Almost Bi-Γ-Ideals of Γ-Semigroups2020-07-31T20:36:25+00:00Anusorn Simuenasimuen96@gmail.comSaleem Abdullahsaleemabdullah@awkum.edu.pkWinita Yonthanthumwinita.m@psu.ac.thRonnason Chinramronnason.c@psu.ac.thIn this paper, we introduce the notions of almost bi-<span>Γ</span>-ideals and fuzzy almost bi-<span>Γ</span>-ideals of <span>Γ</span>-semigroups and give properties of them. Moreover, we investigate relationship between almost bi-<span>Γ</span>-ideals and fuzzy almost bi-<span>Γ</span>-ideals.2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3730Analytical Discussion and Sensitivity Analysis of Parameters of Magnetohydrodynamic Free Convective Flow in an Inclined Plate2020-07-31T14:45:31+00:00S. Thamizh Suganyathamsuganms@yahoo.comP. Balaganesanbalaganesanpp@gmail.comL. Rajendranraj_sms@rediffmail.comMarwan Abukhaledmabukhaled@aus.edu<p>A mathematical model of the magnetohydrodynamic free convective flow of a viscous incompressible fluid, which is based on a system of coupled steady-state nonlinear deferential equations, is discussed. A new approach of the homotopy perturbation method is employed to derive analytical expressions of the fluid velocity, fluid temperature, and species concentration. The effciency and accuracy of the derived results are tested against highly accurate and widely used numerical methods. The obtained analytical expressions are employed to study the effects of the magnetic field, chemical reaction, and other relevant flow parameters on fluid velocity, fluid temperature, and species concentration. Sensitivity analysis of these parameters is also presented.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3768Some Results on Blow-up Phenomenon for Nonlinear Porous Medium Equations with Weighted Source2020-07-31T20:37:24+00:00Huafei Didihuafei@yeah.netLin Chendihuafei@yeah.netZefang Songdihuafei@yeah.net<p>This paper deals with the blow-up phenomena for a type of nonlinear porous medium equations with weighted source ut −4um = a(x)f(u) subject to Dirichlet (or Neumann) boundary conditions. Based on the auxiliary functions and differential-integral inequalities, the blow-up criterions which ensure that u cannot exist all time are given under two different assumptions, and the corresponding estimates on the upper bounds for blow-up time and blow-up rate are derived respectively. Moreover, we use three different methods to determine the lower bounds for blow-up time and blow-up rate estimates if blow-up does occurs.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3736Some Localization of the Zeros of the Third Derivatives of a Complex Polynomial the Disks or Generalized Cardioid Interioriors2020-07-31T14:45:31+00:00Todor Stoyanov Stoyanovtodstoyanov@yahoo.com<p class="Abstract">In this paper, we localize the zeros of the third derivatives of a complex polynomial in some sets. These sets are relevant to the first, second and third derivative of the polynomial, and they are respectively disks and cardioid interiors or generalized cardioid interiors. Here, for the first time we consider generalized cardioids, as the areas of zeros.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3780Efficient Zero Ring Labeling of Graphs2020-07-31T20:38:46+00:00Dhenmar Enriquez Chuachuadhenmar@gmail.comFrancis Joseph Hernandez Campeñafrancis.campena@dlsu.edu.phFloresto Francootserolf@yahoo.comA zero ring is a ring in which the product of any two elements is zero, which is the additive identity. A zero ring labeling of a graph is an assignment of distinct elements of a zero ring to the vertices of the graph such that the sum of the labels of any two adjacent vertices is not the zero element in the ring. Given a zero ring labeling of a graph, if the cardinality of the set of distinct sums obtained from all adjacent vertices is equal to the maximum degree of the graph, then the zero ring labeling is <em>efficient</em>. In this paper, we showed the existence of an efficient zero ring labeling for some classes of trees and their disjoint union. In particular, we showed that an efficient zero ring labeling exists for some families of the following classes of trees: path graphs, star graphs, bistars, centipede graphs, caterpillars, spiders, lobsters, and rooted trees. We also showed results for other common classes of graphs.2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3770Quasi-normality of Mrowka spaces2020-07-31T19:34:37+00:00Ibtesam Eid AlShammariiealshamri@hotmail.comLutfi Kalantanlkalantan@hotmail.com<p>A topological space X is called quasi-normal if X is regular and any two disjoint π-closed subsets A and B of X are separated. We give a Mr ́owka space which is not quasi-normal and use the continuum hypothesis (CH) and truly cardinality c to present Mr ́owka spaces which are quasi-normal.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3657Upper Distance k-Cost Effective Number in the Join of Graphs2020-07-31T19:47:01+00:00Julius Guhiting Caadanjuliusgcaadan@gmail.comRolando N. Palugajuliusgcaadan@gmail.comImelda S. Aniversariojuliusgcaadan@gmail.com<p>Let k be a positive integer and G be a connected graph. The open k-neighborhood set Nk G(v) of v ∈ V (G) is the set Nk G(v) = {u ∈ V (G) \ {v} : dG(u, v) ≤ k}. A set S of vertices of G is a distance k- cost effective if for every vertex u in S, |Nk G(u) ∩ Sc| − |NkG(u) ∩ S| ≥ 0. The maximum cardinality of a distance k- cost effective set of G is called the upper distance k- cost effective number of G. In this paper, we characterized a distance k- cost effective set in the join of two graphs. As direct consequences, the bounds or the exact values of the upper distance k- cost effective numbers are determined.</p>2020-07-31T14:45:31+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematics