https://www.revistaproyecciones.cl/issue/feed Proyecciones. Revista de Matemática 2019-11-15T15:54:55+00:00 Ricardo Soto Montero rsoto@ucn.cl Open Journal Systems <p align="justify">La revista&nbsp;Proyecciones. Journal of Mathematics es una publicación científica, sin fines de lucro, oficial de la Universidad Católica del Norte, Antofagasta, Chile. Fue fundada en 1982 y depende del Departamento de Matemáticas de la Universidad Católica del Norte.<br>Proyecciones. Journal of Mathematics edita un volumen con 5 números al año.</p> https://www.revistaproyecciones.cl/article/view/3771 On flow of electric current in RL circuit using Hilfer type composite fractional derivative 2019-10-27T14:27:18+00:00 Krunal B. Kachhia krunalmaths@hotmail.com J. C. Prajapati jyotindra18@rediffmail.com K. S. Pandya kartikpandya.ee@charusat.ac.in R. Jadeja rajendrasinh.jadeja@marwadieducation.edu.in <p>This paper deals with an interdisciplinary research work between Mathematical sciences and Electrical engineering to develop fractional model of Resistance-Inductance circuit (RL circuit). Authors obtained&nbsp;the analytical solution of this fractional model in terms of Mittag-Leffler function. Graphical interpretation of solution also discussed in this paper.</p> 2019-09-28T00:00:00+00:00 Derechos de autor 2019 Krunal B. Kachhia, J. C. Prajapati, K. S. Pandya, R. Jadeja https://www.revistaproyecciones.cl/article/view/3775 A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces 2019-10-27T14:29:23+00:00 Kuldip Raj kuldipraj68@gmail.com Charu Sharma charu145.cs@gmail.com <p>&nbsp;In the present paper we study the applications of generalized difference matrices and Orlicz function to generate some spaces of almost convergent sequences. We make an effort to study some algebraic and topological properties of these sequence spaces. Some inclusion relations between these spaces are establish. Furthermore, we study matrix transformations and compute β−, γ− duals of these spaces.</p> 2019-09-30T21:56:05+00:00 Derechos de autor 2019 Kuldip Raj, Charu Sharma https://www.revistaproyecciones.cl/article/view/3779 Extended results on sum divisor cordial labeling 2019-10-27T14:33:37+00:00 A. Sugumaran sugumaranaruna@gmail.com K. Rajesh k.rajesh3429@gmail.com <p><em>A sum divisor cordial labeling of a graph G with vertex set V (G) is a bijection f : V (G) → {1, 2, ..., |V (G)|} such that an edge uv assigned the label 1 if 2 divides f(u)+f(v) and 0 otherwise. Further the number of edges labeled with 0 and the the number of edges labeled with 1 differ by atmost 1. A graph with sum divisor cordial labeling is called a sum divisor cordial graph. In this paper we prove that the graphs P<sub>n</sub> + P<sub>n</sub> (n is odd), P<sub>n</sub>@K<sub>1</sub><sub>,m</sub>, Cn@K<sub>1</sub><sub>,m </sub>(n is odd), W<sub>n</sub> ∗ K<sub>1</sub><sub>,m</sub> (n is even), &lt; K₁¹<sub>,n,n</sub> ∆K₁²<sub>,n,n</sub> &gt;, &lt; Fl<sub>n</sub>¹∆Fl<sub>n</sub>² &gt; are sum divisor cordial graphs.</em></p> 2019-10-02T14:56:32+00:00 Derechos de autor 2019 A. Sugumaran, K. Rajesh https://www.revistaproyecciones.cl/article/view/3789 Neutral stochastic functional differential evolution equations driven by Rosenblatt process with varying-time delays 2019-10-27T14:35:51+00:00 Lakhel El Hassan e.lakhel@uca.ma <p>Hermite processes are self-similar processes with stationary increments, the Hermite process of order 1 is fractional Brownian motion and the Hermite process of order 2 is the Rosenblatt process. In this paper we consider a class of time-dependent neutral stochastic functional differential equations with finite delay driven by Rosenblatt process with index H ∈ ( 1/2 , 1) which is a special case of a self-similar process with long-range dependence. More precisely, we prove the existence and uniqueness of mild solutions by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.</p> 2019-10-14T14:29:41+00:00 Derechos de autor 2019 Lakhel El Hassan https://www.revistaproyecciones.cl/article/view/3798 Near ω-continuous multifunctions on bitopological spaces 2019-10-27T14:39:58+00:00 Ennis Rosas Rodríguez ennisrafael@gmail.com Carlos Carpintero carpintero.carlos@gmail.com N. Rajesh nrajesh_topology@yahoo.co.in S. Shanthi shanthiwini2005@yahoo.co.in <p>In this paper, we introduce and study basic characterizations, several properties of upper (lower) nearly (i, j)-ω-continuous multifunctions on bitopological space.</p> 2019-10-14T20:30:39+00:00 Derechos de autor 2019 Ennis Rosas Rodríguez, Carlos Carpintero, N. Rajesh, S. Shanthi https://www.revistaproyecciones.cl/article/view/3799 Equitable total chromatic number of splitting graph 2019-10-27T14:41:35+00:00 G. Jayaraman jayaram07maths@gmail.com D. Muthuramakrishnan dmuthuramakrishnan@gmail.com K. Manikandan kmanimaths1987@gmail.com <p>Among the varius coloring of graphs, the concept of equitable total coloring of graph <em>G</em> is the coloring of all its vertices and edges in which the number of elements in any two color classes differ by atmost one. The minimum number of colors required is called its equitable total chromatic number. In this paper, we determine an equitable total chromatic number of splitting graph of P<sub>n</sub>, C<sub>n</sub> and K<sub>1,n</sub>.</p> 2019-10-14T21:48:48+00:00 Derechos de autor 2019 G. Jayaraman, D. Muthuramakrishnan, K. Manikandan https://www.revistaproyecciones.cl/article/view/3817 Some pairwise weakly Fuzzy mappings 2019-11-15T15:51:03+00:00 Runu Dhar runu.dhar@gmail.com <p>The aim of this paper is to introduce some pairwise weakly fuzzy mappings, called pairwise weakly fuzzy δ-semi-pre-continuous mappings and pairwise weakly fuzzy δ-semi pre-open mappings in fuzzy bitopological spaces. The concept of pairwise weakly fuzzy δ-semi-precontinuous mappings is to be introduced in fuzzy bitopological spaces with the help of the concept of (i, j)-fuzzy pre-open and (i, j)-fuzzy δ-semi pre-open set. Then some of its basic properties and characterization theorems are to be investigated. Also the notion of pairwise weakly fuzzy δ-semi-pre-open mappings is to be introduced in fuzzy bitopological spaces with the help of the concept of (i, j)-fuzzy open set and (i, j)-fuzzy δ-semi pre-interior. Some of its basic properties and its relationship with other known mappings are also to be studied.</p> 2019-10-21T19:46:30+00:00 Derechos de autor 2019 Runu Dhar https://www.revistaproyecciones.cl/article/view/3818 A certain subclass of uniformly convex functions defined by Bessel functions 2019-10-27T16:23:08+00:00 Pinninti Thirupathi Reddy reddypt2@gmail.com Bolineni Venkateswarlu bvlmaths@gmail.com <p>The aim of the present paper is to investigate some characterization for generalized Bessel functions of the first kind is to be a subclass of analytic functions. Furthermore, we studied coefficient estimates, radius of starlikeness, convexity, close - to - convexity, convex linear combinations for the class T S(λ, γ). Finally we proved Integral means inequalities for the class.</p> 2019-10-21T21:54:06+00:00 Derechos de autor 2019 Pinninti Thirupathi Reddy, Bolineni Venkateswarlu https://www.revistaproyecciones.cl/article/view/3024 Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree 2019-10-27T16:34:14+00:00 Mustapha Ait Hammou mus.aithammou@gmail.com El Houssine Azroul azroulelhoussine@gmail.com <p><em>In this paper, we prove the existence of solutions for the nonlinear p(·)-degenerate problems involving nonlinear operators of the form − div a(x, </em><em>∇</em><em>u) = f(x, u, </em><em>∇</em><em>u) where a and f are Carathéodory functions satisfying some nonstandard growth conditions. </em></p> 2019-10-21T22:20:56+00:00 Derechos de autor 2019 Mustapha Ait Hammou, El Houssine Azroul https://www.revistaproyecciones.cl/article/view/3819 On graded 2-classical prime submodules of graded modules over graded commutative rings 2019-11-15T15:54:55+00:00 Khaldoun Falah Al-Zoubi kfzoubi@just.edu.jo Farah Al-Turman fgalturman15@sci.just.edu.jo <p>Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded 2-classical prime submodules. Various properties of graded 2-classical prime submodules are considered.</p> 2019-10-21T22:58:20+00:00 Derechos de autor 2019 Khaldoun Falah Al-Zoubi, Farah Al-Turman https://www.revistaproyecciones.cl/article/view/3056 Some fixed point theorems for generalized Kannan type mappings in b-metric spaces 2019-10-27T22:37:23+00:00 Nehjamang Haokip mark02mm@yahoo.co.iin Nilakshi Goswami nila_g2003@yahoo.co.in <p>In this paper, we prove some fixed point theorems in b-metric spaces using subadditive altering distance function. Some of these results generalize many existing fixed point theorems for Kannan type mappings. The results are justified with suitable examples.</p> 2019-10-21T23:17:24+00:00 Derechos de autor 2019 Nehjamang Haokip, Nilakshi Goswami https://www.revistaproyecciones.cl/article/view/3820 On rough convergence of triple sequence spaces of Bernstein-Stancu operators of fuzzy numbers defined by a metric function 2019-11-15T15:54:21+00:00 M. Jeyaram Bharathi jeyarambharathi@yahoo.com S. Velmurugan ksvelmurugan.09@gmail.com Ayhan Esi aesi23@hotmail.com N. Subramanian nsmaths@gmail.com <p>We define the concept of rough limit set of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers. Finally, we investigate some properties of the rough limit set of Bernstein-Stancu polynomials.</p> 2019-10-22T00:09:28+00:00 Derechos de autor 2019 M. Jeyaram Bharathi, S. Velmurugan, Ayhan Esi, N. Subramanian https://www.revistaproyecciones.cl/article/view/3107 On p-adic gamma function related to q-Daehee polynomials and numbers 2019-10-27T22:26:02+00:00 Ugur Duran mtdrnugur@gmail.com Mehmet Açikgöz ugur.duran@iste.edu.tr <p>In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on of p-adic gamma function via their Mahler expansions. We also derived two -Volkenborn integrals of p-adic gamma function in terms of q-Daehee polynomials and numbers and q-Daehee polynomials and numbers of the second kind. Moreover, we discover q-Volkenborn integral of the derivative of p-adic gamma function. We acquire the relationship between the p-adic gamma function and Stirling numbers of the first kind. We finally develop a novel and interesting representation for the p -adic Euler constant by means of the q-Daehee polynomials and numbers.</p> 2019-10-22T00:00:00+00:00 Derechos de autor 2019 Ugur Duran, Mehmet Açikgöz https://www.revistaproyecciones.cl/article/view/3531 On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices 2019-11-05T14:18:54+00:00 Hubert Rohner Pickmann Soto hpickmanns@academicos.uta.cl Susana Arela Pérez susana.arela.p@gmail.com Juan Carlos Egaña Arancibia jegana@ucn.cl Dante Carrasco Olivera dcarrasc@ubiobio.cl <p>We present a new construction of a symmetric arrow matrix from a particular spectral information: let&nbsp;λ<sub>1</sub><sup>(n)&nbsp;</sup>be the minimal eigenvalue of the matrix and λ<sub>j</sub><sup>(</sup><sup>j)</sup><sub><sup>&nbsp;</sup></sub>,j=1,2,...,n the maximales eigenvalues of all leading principal submatrices of the matrix. We use such a procedure the to construct a nonsymmetric arrow matrix from the same spectral information next to an eigenvector x<sup>(n)</sup>=(x<sub>1</sub>,x<sub>2</sub>, ,…,x<sub>n</sub>), so that (x<sup>(n)</sup>,λ<sub>n</sub><sup>(n</sup><sup>)</sup>) is an eigenpair of the matrix. Moreover our results generate an algorithmic procedure to compute a solution matrix.</p> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> 2019-10-22T02:13:18+00:00 Derechos de autor 2019 Hubert Rohner Pickmann Soto, Susana Arela Pérez, Juan Carlos Egaña Arancibia, Dante Carrasco Olivera https://www.revistaproyecciones.cl/article/view/3134 On asymptotic commutativity degree of finite groups 2019-10-27T22:20:57+00:00 Rajat Kanti Nath rajatkantinath@yahoo.com <p>The aim of this paper is to give a detailed account of a problema posed by P. Lescot regarding asymptotic commutativity degree of finite groups.</p> 2019-10-22T02:36:52+00:00 Derechos de autor 2019 Rajat Kanti Nath https://www.revistaproyecciones.cl/article/view/3267 Construction of Sequences of Borderenergetic Graphs 2019-10-27T21:58:33+00:00 Samir K. Vaidya samirkvaidya@yahoo.co.in Kalpesh M. Popat kalpeshmpopat@gmail.com <p>The graphs whose energy is same as that of complete graphs are known as borderenergetic graphs. We propose a procedure for the construction of borderenergetic graphs and investigate three sequences of borderenergetic graphs.</p> 2019-10-22T03:01:04+00:00 Derechos de autor 2019 Samir K. Vaidya, Kalpesh M. Popat https://www.revistaproyecciones.cl/article/view/3600 New bounds on the distance Laplacian and distance signless Laplacian spectral radii 2019-10-27T21:53:30+00:00 Roberto Carlos Díaz rdiaz01@ucn.cl Ana Julio ajulio@ucn.cl Óscar Rojo orojo@ucn.cl <p>Let G be a simple undirected connected graph. In this paper, new upper bounds on the distance Laplacian spectral radius of G are obtained. Moreover, new lower and upper bounds for the distance signless Laplacian spectral radius of G are derived. Some of the above mentioned bounds are sharp and the graphs attaining the corresponding bound are characterized. Several illustrative examples are included.</p> <p>&nbsp;</p> 2019-10-22T03:55:47+00:00 Derechos de autor 2019 Roberto Carlos Díaz, Ana Julio, Óscar Rojo