Proyecciones. Revista de Matemática 2019-11-15T15:54:55+00:00 Ricardo Soto Montero 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> On flow of electric current in RL circuit using Hilfer type composite fractional derivative 2019-10-27T14:27:18+00:00 Krunal B. Kachhia J. C. Prajapati K. S. Pandya R. Jadeja <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 A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces 2019-10-27T14:29:23+00:00 Kuldip Raj Charu Sharma <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 Extended results on sum divisor cordial labeling 2019-10-27T14:33:37+00:00 A. Sugumaran K. Rajesh <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 Neutral stochastic functional differential evolution equations driven by Rosenblatt process with varying-time delays 2019-10-27T14:35:51+00:00 Lakhel El Hassan <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 Near ω-continuous multifunctions on bitopological spaces 2019-10-27T14:39:58+00:00 Ennis Rosas Rodríguez Carlos Carpintero N. Rajesh S. Shanthi <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 Equitable total chromatic number of splitting graph 2019-10-27T14:41:35+00:00 G. Jayaraman D. Muthuramakrishnan K. Manikandan <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 Some pairwise weakly Fuzzy mappings 2019-11-15T15:51:03+00:00 Runu Dhar <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 A certain subclass of uniformly convex functions defined by Bessel functions 2019-10-27T16:23:08+00:00 Pinninti Thirupathi Reddy Bolineni Venkateswarlu <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 Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree 2019-10-27T16:34:14+00:00 Mustapha Ait Hammou El Houssine Azroul <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 On graded 2-classical prime submodules of graded modules over graded commutative rings 2019-11-15T15:54:55+00:00 Khaldoun Falah Al-Zoubi Farah Al-Turman <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 Some fixed point theorems for generalized Kannan type mappings in b-metric spaces 2019-10-27T22:37:23+00:00 Nehjamang Haokip Nilakshi Goswami <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 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 S. Velmurugan Ayhan Esi N. Subramanian <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 On p-adic gamma function related to q-Daehee polynomials and numbers 2019-10-27T22:26:02+00:00 Ugur Duran Mehmet Açikgöz <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 On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices 2019-11-05T14:18:54+00:00 Hubert Rohner Pickmann Soto Susana Arela Pérez Juan Carlos Egaña Arancibia Dante Carrasco Olivera <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 On asymptotic commutativity degree of finite groups 2019-10-27T22:20:57+00:00 Rajat Kanti Nath <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 Construction of Sequences of Borderenergetic Graphs 2019-10-27T21:58:33+00:00 Samir K. Vaidya Kalpesh M. Popat <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 New bounds on the distance Laplacian and distance signless Laplacian spectral radii 2019-10-27T21:53:30+00:00 Roberto Carlos Díaz Ana Julio Óscar Rojo <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