https://www.ejpam.com/index.php/ejpam/issue/feedEuropean Journal of Pure and Applied Mathematics2020-02-01T03:56:52+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> *we have signed the official agreement with Scopus for indexing as of January 2019 issue in November 2019. The name of the journal will appear soon in Scopus database once they practically start indexing the journal's papers. <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/3632Some Closure Operators and Topologies on a Hyper BCK-algebra2020-01-31T21:26:25+00:00Rachel Moridas Patanganrhapsodistchelar@gmail.comSergio R. Canoy, Jr.sergio.canoy@g.msuiit.edu.phGiven a hyper BCK-algebra (H,*,0), we introduce some subsets of H and use them to generate two closure opeeatots on H. In this paper we show that each of tje two closurenoperators on H can be utilized to form a base for some topology on H.2020-01-31T20:54:01+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3575Inf-hesitant Fuzzy Subalgebras and Ideals in BCK/BCI-algebras2020-01-31T21:28:33+00:00G. Muhiuddinchishtygm@gmail.comAbdulaziz M. Alanaziam.alenezi@ut.edu.saMohamed E. A. Elnairabomunzir1224@gmail.comK. P. Shumkpshumm@ynu.edu.cn<p>In the present paper, we introduce the notions of Inf-hesitant fuzzy subalgebras and Inf-hesitant fuzzy ideals in BCK/BCI-algebras and investigate their relations and properties. In addition, we discuss the characterizations of Inf-hesitant fuzzy subalgebras and Inf-hesitant fuzzy ideals in BCK/BCI-algebras.</p>2020-01-31T20:54:02+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3609Using Fractal Calculus to Express Electric Potential and Electric Field in Terms of Staircase and Characteristic Functions2020-01-31T21:34:21+00:00Nasibeh Delfandelfan.nf@gmail.comAmir Pishkooapishkoo@gmail.comMahdi Azhinim.azhini@srbiau.ac.irMaslina Darusmaslina@ukm.edu.myThe Dirac Delta function is usually used to express the discrete distribution of electric charges in electrostatic problems. The integration of the product of the Dirac Delta function and the Green functions can calculate the electric potential and the electric field. Using fractal calculus, characteristic function, $\chi_{C_{n}}(x)$, as an alternative for dirac delta function is used to describe Cantor set charge distribution which is typical example of a discrete set. In these cases we deal with $F^{\alpha}$-integration and $F^{\alpha}$-derivative of the product of characteristic function and function of staircase function, namely $f(S^{\alpha}_{C_{n}}(x))$, which lead to calculation of electric potential and electric field. Recently, a calculus based fractals, called F$^{\alpha}$-calculus, has been developed which involve F$^{\alpha}$-integral and F$^{\alpha}$-derivative, of orders $\alpha$, $0<\alpha<1$, where $\alpha$ is dimension of $F$. In F$^{\alpha}$-calculus the staircase function and characteristic function have special roles. Finally, using COMSOL Multiphysics software we solve ordinary Laplace's equation (not fractional) in the fractal region with Koch snowflake boundary which is non-differentiable fractal, and give their graphs for the three first iterations.2020-01-31T20:54:02+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3539Higher Order Nonlocal Boundary Value Problems at Resonance on the Half-line2020-01-31T21:31:35+00:00Samuel Iyasesamuel.iyase@covenantuniversity.edu.ngAbiodun Opanugaabiodun.opanuga@covenantuniversity.edu.ng<p>This paper investigates the solvability of a class of higher order nonlocal boundary<br />value problems of the form<br />u<br />(n)<br />(t) = g(t, u(t), u0<br />(t)· · · u<br />(n−1)(t)), a.e. t ∈ (0, ∞)</p><p>subject to the boundary conditions</p><p>u<br />(n−1)(0) = (n − 1)!<br />ξ<br />n−1<br />u(ξ), u(i)<br />(0) = 0, i = 1, 2, . . . , n − 2,</p><p>u<br />(n−1)(∞) = Z ξ<br />0<br />u<br />(n−1)(s)dA(s)<br />where ξ > 0, g : [0, ∞) × <n −→ < is a Caratheodory’s function,<br />A : [0, ξ] −→ [0, 1) is a non-decreasing function with A(0) = 0, A(ξ) = 1. The differential operator<br />is a Fredholm map of index zero and non-invertible. We shall employ coicidence degree arguments<br />and construct suitable operators to establish existence of solutions for the above higher order<br />nonlocal boundary value problems at resonance.</p>2020-01-31T20:54:02+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3581Performances Assessment of MOMA-Plus Method on Multiobjective Optimization Problems2020-01-31T21:32:47+00:00Alexandre Somsokous11@gmail.comKounhinir Somesokous11@gmail.comAbdoulaye Compaoresokous11@gmail.comBlaise Somesokous11@gmail.com<span>This work is devoted to evaluate the performances of the MOMA-plus method in <span>solving multiobjective optimization problems. This assessment is doing on the complexity of its <span>algorithm, the convergence and the diversity of solutions in relation to the Pareto front. All these <span>parameters were evaluated on non-linear multiobjective test problems and obtained solutions are <span>compared with those provided by the NSGA-II method. This comparative study made it possible to<br /><span>highlight the performances of MOMA-plus method for solving non-linear multiobjective problems.</span></span></span></span></span><br /><br class="Apple-interchange-newline" /></span>2020-01-31T20:54:02+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3586Finite Element Simulation of Newtonian and Non-Newtonian Fluid through the Parallel Plates Affixed with Single Screen2020-01-31T21:35:50+00:00Abid Ali Memonabid.ali@iba-suk.edu.pkMuhammad Asif Memonasif-memon@iba-suk.edu.pkKaleemullah Bhattikaleemullah.phdm17@iba-suk.edu.pkGul Muhammad Shaikhg.shaikh@iba-suk.edu.pkIn the contemporary research article we have performed a numerical investigation of the non-Newtonian fluid flow through a rectangular channel with a fixed solid screen devoted at the angles 100 to 450 degrees. We have employed the power-law model for shear thickening and shear thinning fluids with the high Reynolds number between 1000 and 10,000. The obstacle has been solved by putting in the Galerkin’s least square strategy of the finite element method and the procedure has been carried out utilizing the commercial software COMSOL Multiphysics. Various flow properties such as 'maximum flow rate' and 'pressure' have been discussed in the terms of the Reynolds number and also using the linear and quadratic regressions in order to establish the relationship between them for the future analysis. Moreover the impact of turning screen in the shape of increment in the maximum flow rate and pressure is checked in terms of Reynolds number and Satisfactory results are gained in comparison with the results available in the literature.2020-01-31T20:54:02+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3587A Systematic Approach to Group Properties Using its Geometric Structure2020-01-31T21:55:34+00:00Muhammed Bellombatap560@gmail.comNor Muhainiah Mohd Alinormuhainia@utm.myNurfarah Zulkiflinurfarazulkifli@yahoo.comThe algebraic properties of a group can be explored through the relationship among its elements. In this paper, we define the graph that establishes a systematic relationship among the group elements. Let G be a finite group, the order product prime graph of a group G, is a graph having the elements of G as its vertices and two vertices are adjacent if and only if the product of their order is a prime power. We give the general presentation for the graph on dihedral groups and cyclic groups and classify finite dihedral groups and cyclic groups in terms of the order product prime graphs as one of connected, complete, regular and planar. We also obtained some invariants of the graph such as its diameter, girth,independent number and the clique number. Furthermore, we used the<br />vertex-cut of the graph in determining the nilpotency status of dihedral<br />groups. The graph on dihedral groups is proven to be regular and complete only if the degree of the corresponding group is even prime power and connected for all prime power degree. It is also proven on cyclic groups to be both regular, complete and connected if the group has prime power order. Additionally, the result turn out to show that any dihedral group whose order product prime graph’s vertex-cut is greater than one is nilpotent. We also show that the order product prime graph is planar only when the degree of the group is three for dihedral groups and less than five for cyclic groups. Our final result shows that the order product prime graphs of any two isomorphic groups are isomophic.<br /><br />2020-01-31T20:54:02+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3590Impact Optimization of Battery Energy Storage System in Microgrid Operation2020-01-31T21:33:38+00:00Bernard AdjeiAdjei175@gmail.comElvis K. DonkohAdjei175@gmail.comDominic OtooAdjei175@gmail.comEmmanuel De-Graft Johnson Owusu-AnsahAdjei175@gmail.comFrancois MahamaAdjei175@gmail.com<span class="fontstyle0">In microgrid operation, one of the most vital tasks of the system control is to wisely<br />decide between selling excess power to the local grid or charge the Battery Energy Storage System (BESS). Our study uses Mixed-Integer Linear Programming to investigate the impact of storage system on the operational cost of a microgrid. The results suggested that the presence of BESS would relieve the pressure on the utility grid but not the cost of electricity due to the expensive nature of the storage plant. In view of this, it will be more beneficial to sell excess renewable generated power to the utility grid than to invest in a storage system for larger microgrids.</span> <br /><br />2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3594Proof of Golomb’s conjecture in Fq with Γ$-pseudorandom sequences2020-01-31T21:33:51+00:00Yonghong Liuhylinin@163.comThis article offers a short proof of Golomb's conjecture, and then our results show that the sequences are pseudorandom in $\mathbb{F}_2$.2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3576Anti Fuzzy Interior Ideals on Ordered AG-groupoids2020-02-01T03:56:52+00:00Nasreen Kausarkausar.nasreen57@gmail.comMeshari Alesemikausar.nasreen57@gmail.comSalahuddin .kausar.nasreen57@gmail.com<p>The purpose of this paper is to investigate, the characterizations of different classes of non-associative ordered semigroups by using anti fuzzy left (resp. right, interior) ideals.</p>2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3626Simple Properties and Existence Theorem for the Henstock-Kurzweil-Stieltjes Integral of Functions Taking Values on C[a,b] Space-valued Functions2020-01-31T21:34:56+00:00Andrew Felix IV Suarez Cunanandeofscunananiv@yahoo.comJulius Benitezdeofscunananiv@yahoo.comHenstock--Kurzweil integral, a nonabsolute integral, is a natural extension of the Riemann integral that was studied independently by Ralph Henstock and Jaroslav Kurzweil. This paper will introduce the Henstock--Kurzweil--Stieltjes integral of $\mathcal{C}[a,b]$-valued functions defined on a closed interval $[f,g]\subseteq\mathcal{C}[a,b]$, where $\mathcal{C}[a,b]$ is the space of all continuous real-valued functions defined on $[a,b]\subseteq\mathbb{R}$. Some simple properties of this integral will be formulated including the Cauchy criterion and an existence theorem will be provided.2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3619Numerical Methods for Advection Problem2020-01-31T21:34:32+00:00Diogene Vianney Pongui Ngomagermain.nguimbi@umng.cgGermain Nguimbigermain.nguimbi@umng.cgVital Delmas Mabonzogermain.nguimbi@umng.cgNarcisse Batangounagermain.nguimbi@umng.cgThis work is part of mathematical modeling and numerical analysis. This paper aims is to solve an advection problem where u=u(x; t) is the solution by Lax-Wendrof and nite dierence methods, to study the analytical stability in L2[0;1], L1[0; 1], then calculate the truncation error of these methods and nally study the analytical convergence of these methods. These numerical techniques of resolution were implemented in Scilab.2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3588Some Results on C-retractable Modules2020-01-31T21:33:19+00:00Abdoul Djibril Diallocheikpapa@yahoo.frPapa Cheikhou Diopcheikpapa@yahoo.frMamadou Barrycheikpapa@yahoo.fr<p>An R-module M is called c-retractable if there exists a nonzero homomorphism from M to any of its nonzero complement submodules. In this paper, we provide some new results of c- retractable modules. It is shown that every projective module over a right SI-ring is c-retractable. A dual Baer c-retractable module is a direct sum of a Z2-torsion module and a module which is a direct sum of nonsingular uniform quasi-Baer modules whose endomorphism rings are semi- local quasi-Baer. Conditions are found under which, a c-retractable module is extending, quasi-continuous, quasi-injective and retractable. Also, it is shown that a locally noetherian c-retractable module is homo-related to a direct sum of uniform modules. Finally, rings over which every c-retractable is a C4-module are determined.</p>2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3625On Strong Resolving Domination in the Join and Corona of Graphs2020-01-31T21:34:44+00:00Gerald Bacon Monsantomonger2006@yahoo.comPenelyn L. Acalmonger2006@yahoo.comHelen M. Raramonger2006@yahoo.com<p>Let G be a connected graph. A subset S \subseteq V(G) is a <em>strong resolving dominating set</em> of G if S is a dominating set and for every pair of vertices u,v \in V(G), there exists a vertex w \in S such that u \in I_G[v,w] or v \in I_G[u,w]. The smallest cardinality of a strong resolving dominating set of G is called the <em>strong resolving domination number</em> of G. In this paper, we characterize the strong resolving dominating sets in the join and corona of graphs and determine the bounds or exact values of the strong resolving domination number of these graphs.</p>2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematicshttps://www.ejpam.com/index.php/ejpam/article/view/3605Some Applications of Ptolemy's Theorem in Secondary School Mathematics2020-01-31T21:34:03+00:00Samed Jahangir Aliyevsamed59@bk.ruShalala A. Hamidovasamed59@bk.ruGoncha Z. Abdullayevasamed59@bk.ru<p>We consider some applications of Ptolemy's theorem. In particular, we nd a criterion for constructing an inscribed hexagon.</p>2020-01-31T20:54:03+00:00Copyright (c) 2020 European Journal of Pure and Applied Mathematics