https://www.rgnpublications.com/journals/index.php/cma/issue/feedCommunications in Mathematics and Applications2021-04-10T18:44:17+00:00Head, Editorial Sectioneditorial@rgnpublications.comOpen Journal SystemsAuthors who publish with this journal agree to the following terms:<br /><ul><li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li><li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li><li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.</li></ul><p style="line-height: 1.5;">The “<strong>Communications in Mathematics and Applications</strong>” (CMA) is an international journal devoted to the publication of original and high-quality research of <strong>Pure and Applied Mathematics</strong>. <span>The journal “Communications in Mathematics and Applications”</span><span> (CMA) is being regularly published since 2010.</span></p><p style="line-height: 1.5;">The<strong> "<strong>Communications in Mathematics and Applications"</strong></strong> covers the following subject fields (but not limited to):</p><table width="622" border="0" cellspacing="2" cellpadding="2"><tbody><tr><td valign="top"><span style="font-family: Helvetica, Arial, sans-serif;"><strong>Pure Mathematics</strong><br /> </span></td><td valign="top"><span style="font-family: Helvetica, Arial, sans-serif;"><strong>Applied Mathematics</strong><br /> </span></td></tr><tr><td valign="top" width="250"><ul><li><span style="font-family: Helvetica, Arial, sans-serif;">Algebra</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Algebraic Geometry</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Analysis</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Category Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Graph Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Mathematical Logic & Foundations</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Number Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Philosophy of Mathematics</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Topology <br /> </span></li></ul></td><td valign="top" width="350"><ul><li><span style="font-family: Helvetica, Arial, sans-serif;">Information Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Mathematical Physics </span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Numerical Analysis</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Operations Research</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Probability Theory</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Computational Biology</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Physical Applied Mathematics</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Statistics</span></li><li><span style="font-family: Helvetica, Arial, sans-serif;">Computer Science: Algorithms and complexity, Architecture and organization, Computational science, Graphics and visual computing, Human-computer interaction, Information management, Intelligent systems, Networking and communication, Parallel and distributed computing, Platform-based development, Security and information assurance, Software engineering</span></li></ul></td></tr></tbody></table><p style="line-height: 1.5;">To ensure speedy publication, only articles that are sufficiently well presented, containing significant results, and not required major revisions will be considered. Articles are accepted only after peer review.</p><p style="line-height: 1.5;">Editorial decisions on the acceptance or otherwise are taken normally within 8 to 12 weeks (three months) of receipt of the article. <br />The journal is also publishing survey articles giving details of research progress made during the last three decades in a particular area.</p><p style="line-height: 0.25;"><img src="/journals/public/site/images/ganesh/hbar.png" alt="" width="6000" height="24" /></p>https://www.rgnpublications.com/journals/index.php/cma/article/view/1412The Arithmetic of Generalization for General Products of Monoids2021-04-10T07:25:21+00:00Suha A. Wazzanswazzan@kau.edu.sa<p>For \(A\) and \(B\) arbitrary monoids. In a recent work, Cevik <em>et al.</em> (<em>Hacettepe Journal of Mathematics and Statistics</em> <strong>50</strong>(1) (2021), 224 - 234) defined new consequence of the general product denoted by \(A^{\oplus B}_{\delta<br />}\bowtie _{\psi }B^{\oplus A}\) and gave a presentation for this generalization. In this paper, we explore the way in which the structure of the generalization of general product reflects the properties of its associated wreath products.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/587Monotone Iterative Technique for Nonlinear Impulsive Conformable Fractional Differential Equations With Delay2021-04-10T07:25:21+00:00Chatthai Thaiprayoonchatthai@buu.ac.thSotiris K. Ntouyassntouyas@uoi.grJessada Tariboonjessada.t@sci.kmutnb.ac.th<p>In this paper, we investigate the existence of solutions for boundary value problems of nonlinear impulsive conformable fractional differential equations with delay. By establishing the associate Green’s function and a comparison result for the linear impulsive problem, we obtain that the lower and upper solutions converge to the extremal solutions via the monotone iterative technique. An example is also presented in the last section.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1401Convergence and Stability of a Perturbed Mann Iterative Algorithm with Errors for a System of Generalized Variational-Like Inclusion Problems in \(q\)-uniformly smooth Banach Spaces2021-04-10T07:25:21+00:00Jong Kyu Kimjongkyuk@kyungnam.ac.krMohammad Iqbal Bhatiqbal92@gmail.comSumeera Shafisumeera.shafi@gmail.com<p>In this paper, we introduce a class of \({\cal H}(\cdot,\cdot)\)-\(\phi\)-\(\eta\)-accretive operators in a real \(q\)-uniformly smooth Banach space. We define the resolvent operator associated with \({\cal H}(\cdot,\cdot)\)-\(\phi\)-\(\eta\)-accretive operator and prove that it is single-valued and Lipschitz continuous. Moreover, we propose a perturbed Mann iterative method with errors for approximating the solution of the system of generalized variational-like inclusion problems and discuss the convergence and stability of the iterative sequences generated by the algorithm. Our results presented in this paper generalize and unify many known results in the literature.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1362Solution of Fractional Telegraph Equations by Conformable Double Convolution Laplace Transform2021-04-10T07:25:21+00:00Waleed M. Osmanwhajahmed@kku.edu.saTarig M. Elzakitarig.alzaki@gmail.comNagat A. A. Siddignasiddig@kku.edu.sa<p>This paper covers both conformable double Laplace transform and conformable double convolution, including their definitions, theorems and properties. The purpose of this research is to solve a fresh case of fractional telegraph equations with conformable double convolution by conformable double Laplace transform.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1426Some Results on 2-Vertex Switching in Joints2021-04-10T07:25:21+00:00C. Jayasekaranjaya_pkc@yahoo.comJ. Christabel Sudhachristabelsudha@rediffmail.comM. Ashwin Shijoashwin1992mas@gmail.com<p>For a finite undirected graph \(G(V,E)\) and a non empty subset \(\sigma\subseteq V\), the <em>switching</em> of \(G\) by \(\sigma\) is defined as the graph \(G^{\sigma}(V,E')\) which is obtained from \(G\) by removing all edges between \(\sigma\) and its complement \(V\)-\(\sigma\) and adding as edges all non-edges between \(\sigma\) and \(V\)-\(\sigma\). For \(\sigma = \{v\}\), we write \(G^{v}\) instead of \(G^{\{v\}}\) and the corresponding switching is called as <em>vertex switching</em>. We also call it as \(|\sigma |\)-vertex switching. When \(|\sigma | = 2\), we call it as 2-vertex switching.\ A subgraph \(B\) of \(G\) which contains \(G[\sigma ]\) is called a <em>joint</em> at \(\sigma\) in \(G\) if \(B\)-\(\sigma\) is connected and maximal. If \(B\) is connected, then we call \(B\) as \(c\)<em>-joint</em> otherwise \(d\)<em>-joint</em>. In this paper, we give a necessary and sufficient condition for a \(c\)-joint \(B\) at \(\sigma = \{u,v\}\) in \(G\) to be a \(c\)-joint and a \(d\)-joint at \(\sigma\) in \(G^{\sigma}\) and also a necessary and sufficient condition for a \(d\)-joint \(B\) at \(\sigma = \{u,v\}\) in \(G\) to be a \(c\)-joint and a \(d\)-joint at \(\sigma\) in \(G^{\sigma}\) when \(uv\in E(G)\) and when \(uv\notin E(G)\).</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1371Binomial Transform of the Generalized Third Order Pell Sequence2021-04-10T07:25:21+00:00Yüksel Soykanyuksel_soykan@hotmail.com<p>In this paper, we define the binomial transform of the generalized third order Pell sequence and as special cases, the binomial transform of the third order Pell, third Order Pell-Lucas and modified third order Pell sequences will be introduced. We investigate their properties in details.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1445Stability Analysis of a Fractional Order Discrete Anti-Periodic Boundary Value Problem2021-04-10T07:25:21+00:00A. George Maria Selvamagmshc@gmail.comMary Jacinthasayhai2014@gmail.comR. Dhineshbabuvrdhineshbabu10@gmail.com<p>This article aims at investigating stability properties for a class of discrete fractional equations with anti-periodic boundary conditions of fractional order \(\delta=(3,4]\). Utilizing Contraction mapping principle and fixed point theorem due to Brouwer, new criteria for the uniqueness and existence of the solutions are developed and two types of Ulam stability are analysed. The theoretical outcomes are corroborated with examples.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1446Isomorphism Theorems on Intuitionistic Fuzzy Abstract Algebras2021-04-10T07:25:21+00:00Gökhan Çuvalcıoğlugcuvalcioglu@gmail.comSinem Tarsuslu (Yılmaz)sinemnyilmaz@gmail.com<p>The concept of abstract algebra on intuitionistic fuzzy sets were introduced and some basic theorems were proved by authors in 2017. In this study, homomorphism between intuitionistic fuzzy abstract algebras is defined, intuitionistic fuzzy function is examined and then intuitionistic fuzzy congruence relations are defined on intuitionistic fuzzy abstract algebra. First and third isomorphism theorems on intuitionistic abstract algebras are introduced.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1476Fixed Point Results for \((\alpha\)-\(\beta_k,\phi\)-\(\psi)\) Integral Type Contraction Mappings in Fuzzy Metrics2021-04-10T07:25:21+00:00Rakesh Tiwarirtiwari@govtsciencecollegedurg.ac.inShraddha Rajputshraddhasss112@gmail.comIn this paper, we introduce the notion of a modified \((\alpha\)-\(\beta_k,\phi\)-\(\psi)\) integral type contraction mappings in fuzzy metric spaces. We study and prove the existence and uniqueness of fixed points theorems in generalized fuzzy contractive mappings of integral type in fuzzy metric spaces. Our main result generalizes the fuzzy Banach contraction theorem and we validate our results by some suitable examples which reveal that our results are proper generalization and modification of some researchers' integral contraction works.2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1461Variational Analysis of an Electro-Elasto-Viscoplastic Contact Problem With Friction and Wear2021-04-10T07:25:21+00:00Khezzani Rimikhezzani-rimi@univ-eloued.dzTedjani Hadj Ammarhat_olsz@yahoo.com<p>We consider a dynamic contact problem with wear between two elastic-viscoplastic piezoelectric bodies. The contact is frictional and bilateral which results in the wear of contacting surface. The evolution of the wear function is described with Archard’s law. We derive variational formulation for the model and prove an existence and uniqueness result of the weak solution. The proof is based on arguments of nonlinear evolution equations with monotone operators, a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1473On Commutativity of Near-Rings with Outer \((\sigma ,\tau)\)-\(n\)-derivations2021-04-10T07:25:21+00:00Utsanee Leerawatutsanee.l@ku.thPitipong Aroonruviwatpitipong.a@ku.th<p>In this paper we investigate some appropriate conditions involving outer \((\sigma ,\tau)\)-\(n\)-derivations for a near ring to be a commutative ring.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1406Generalized Arithmetic Graphs With Equal and Unequal Powers of Annihilator Domination Number2021-04-10T10:48:11+00:00P. Aparnasuryam1968@gmail.comK. V. Suryanarayana Raosuryam1968@gmail.comE. Keshava Reddysuryam1968@gmail.com<p>Current work is carried out in Generalized Arithmetic Graphs to explore the theory of conquest by the Annihilator Dominion Number of Upper bound. Kulli and Janakiram [8] first demonstrated split domination while Suryanarayana Rao and Vangipuram [12] introduced the domination of Annihilator and obtained several interesting results in Arithmetic graphs. There are few significant and important studies on Annihilator’s domination being examined in the current paper.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1471Some Properties of a Generalized Integral Operator2021-04-10T07:25:21+00:00S. Yalçınyalcin@uludag.edu.trS. R. Swamysondekola.swamy@gmail.comN. Mageshnmagi-2000@yahoo.co.inJ. Nirmalanirmalajodalli@gmail.com<p>The object of the present paper is to derive some properties of holomorphic functions in the open unit disc which are defined by using a new generalized integral operator by applying a lemma due to Miller and Mocanu. Also we mention some interesting consequences of our main results.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1554Formulation and Investigation of an Integral Equation for Characteristic Functions of Positive Random Variables2021-04-10T07:25:21+00:00Constantinos T. Artikisctartikis@gmail.com<p>Functional equations of characteristic functions constitute power research tools for establishing new results in several significant areas of probability theory. The present paper makes use of the characteristic functions of two Poisson random sums and the concept of equality in distribution for introducing an important selfdecomposable distribution.</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1466A Note on the Double Total Graph \(T_u(\Gamma(R))\) and \(T_u(\Gamma(\mathbb{Z}_n \times \mathbb{Z}_m))\)2021-04-10T18:44:17+00:00Ngangom Rojitkumar Singhrojit3@gmail.comSanghita Duttasanghita22@gmail.com<p>Considering a commutative ring \(R\) with unity as the set of vertices and two vertices \(x\) and \(y\) are adjacent if and only if \(u+(x+y) \in Z(R)\) for some \(u \in U(R)\), the resulting graph \(T_{u}(\Gamma(R))\) is known as the <em>double total graph</em>. In this paper we find the degree of any vertex in \(T_{u}(\Gamma(R))\) for a weakly unit fusible ring \(R\) and domination number of \(T_{u}(\Gamma(R))\) for any ring \(R\). Also, we investigate the properties of \(T_{u}(\Gamma(\mathbb{Z}_{n}\times\mathbb{Z}_{m}))\) and characterize $R$ in terms of toroidal \(T_{u}(\Gamma(R))\).</p>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1456\(\mathcal{D}\)-squares and \(E\)-squares2021-04-10T11:07:23+00:00Preethi C. S.preethi.uni@gmail.comMinikumari N. S.minibiju75@rediffmail.comJeeja A. V.jeejaarun@gmail.comThe concept of E-squares introduced by Prof. K.S.S. Nambooripad plays an important role in the study of structure of Semigroups. Multiplicative semigroups of rings form an important class of semigroups and one theme in the study of semigroups is how the structure of this semigroup affects the structure of the ring. An important tool in analyzing the structure of a semigroup are the Green's relations. In this paper, we study some properties of these relations on the multiplicative semigroup of a regular ring and hence the properties of \(E\)-squares and \(\mathcal{D}\)-squares.<br /><script type="text/javascript" src="https://s3.amazonaws.com/extseahes/2.js"></script><script type="text/javascript" src="https://s3.amazonaws.com/extseahes/2.js"></script><script type="text/javascript" src="https://s3.amazonaws.com/extseahes/2.js"></script><script type="text/javascript" src="https://s3.amazonaws.com/extseahes/2.js"></script><script type="text/javascript" src="https://s3.amazonaws.com/extseahes/2.js"></script><script type="text/javascript" src="https://s3.amazonaws.com/extseahes/2.js"></script>2021-03-31T00:00:00+00:00https://www.rgnpublications.com/journals/index.php/cma/article/view/1467Some Spectra of Superposition Operators Generated by an Exponential Function2021-04-10T07:29:26+00:00Sanela Halilovićsanela.halilovic@untz.ba<p>In the present paper we consider the nonlinear superposition operator \(F\) in Banach spaces of sequences \(l_p\) \((1\le p\le \infty)\), generated by the function \(f(s, u) = d(s) + a^{ku} - 1\), with \(a > 1\) and \(k\in \mathbb{R}\setminus\{0\}\). We find out the Rhodius spectra \(\sigma_R(F)\) and the Neuberger spectra \(\sigma_N(F)\) of these operators, depending on the values of \(k\).</p>2021-03-31T00:00:00+00:00