Proyecciones. Revista de Matemática <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> Universidad Católica del Norte. es-ES Proyecciones. Revista de Matemática 0716-0917 On flow of electric current in RL circuit using Hilfer type composite fractional derivative <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> Krunal B. Kachhia J. C. Prajapati K. S. Pandya R. Jadeja Derechos de autor 2019 Krunal B. Kachhia, J. C. Prajapati, K. S. Pandya, R. Jadeja 2019-09-28 2019-09-28 38 4 625 636 10.22199/issn.0717-6279-2019-04-0040 A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces <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> Kuldip Raj Charu Sharma Derechos de autor 2019 Kuldip Raj, Charu Sharma 2019-09-30 2019-09-30 38 4 637 652 10.22199/issn.0717-6279-2019-04-0041 Extended results on sum divisor cordial labeling <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> A. Sugumaran K. Rajesh Derechos de autor 2019 A. Sugumaran, K. Rajesh 2019-10-02 2019-10-02 38 4 653 663 10.22199/issn.0717-6279-2019-04-0042 Neutral stochastic functional differential evolution equations driven by Rosenblatt process with varying-time delays <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> Lakhel El Hassan Derechos de autor 2019 Lakhel El Hassan 2019-10-14 2019-10-14 38 4 665 689 Near ω-continuous multifunctions on bitopological spaces <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> Ennis Rosas Rodríguez Carlos Carpintero N. Rajesh S. Shanthi Derechos de autor 2019 Ennis Rosas Rodríguez, Carlos Carpintero, N. Rajesh, S. Shanthi 2019-10-14 2019-10-14 38 4 691 698 10.22199/issn.0717-6279-2019-04-0044 Equitable total chromatic number of splitting graph <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> G. Jayaraman D. Muthuramakrishnan K. Manikandan Derechos de autor 2019 G. Jayaraman, D. Muthuramakrishnan, K. Manikandan 2019-10-14 2019-10-14 38 4 699 705 10.22199/issn.0717-6279-2019-04-0045 Some pairwise weakly Fuzzy mappings <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> Runu Dhar Derechos de autor 2019 Runu Dhar 2019-10-21 2019-10-21 38 4 707 717 10.22199/issn.0717-6279-2019-04-0046 A certain subclass of uniformly convex functions defined by Bessel functions <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> Pinninti Thirupathi Reddy Bolineni Venkateswarlu Derechos de autor 2019 Pinninti Thirupathi Reddy, Bolineni Venkateswarlu 2019-10-21 2019-10-21 38 4 719 731 10.22199/issn.0717-6279-2019-04-0047 Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree <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> Mustapha Ait Hammou El Houssine Azroul Derechos de autor 2019 Mustapha Ait Hammou, El Houssine Azroul 2019-10-21 2019-10-21 38 4 733 751 10.22199/issn.0717-6279-2019-04-0048 On graded 2-classical prime submodules of graded modules over graded commutative rings <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> Khaldoun Falah Al-Zoubi Farah Al-Turman Derechos de autor 2019 Khaldoun Falah Al-Zoubi, Farah Al-Turman 2019-10-21 2019-10-21 38 4 753 761 Some fixed point theorems for generalized Kannan type mappings in b-metric spaces <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> Nehjamang Haokip Nilakshi Goswami Derechos de autor 2019 Nehjamang Haokip, Nilakshi Goswami 2019-10-21 2019-10-21 38 4 763 782 10.22199/issn.0717-6279-2019-04-0050 On rough convergence of triple sequence spaces of Bernstein-Stancu operators of fuzzy numbers defined by a metric function <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> M. Jeyaram Bharathi S. Velmurugan Ayhan Esi N. Subramanian Derechos de autor 2019 M. Jeyaram Bharathi, S. Velmurugan, Ayhan Esi, N. Subramanian 2019-10-22 2019-10-22 38 4 783 798 On p-adic gamma function related to q-Daehee polynomials and numbers <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> Ugur Duran Mehmet Açikgöz Derechos de autor 2019 Ugur Duran, Mehmet Açikgöz 2019-10-22 2019-10-22 38 4 799 810 On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices <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> Hubert Rohner Pickmann Soto Susana Arela Pérez Juan Carlos Egaña Arancibia Dante Carrasco Olivera Derechos de autor 2019 Hubert Rohner Pickmann Soto, Susana Arela Pérez, Juan Carlos Egaña Arancibia, Dante Carrasco Olivera 2019-10-22 2019-10-22 38 4 811 828 10.22199/issn.0717-6279-2019-04-0053 On asymptotic commutativity degree of finite groups <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> Rajat Kanti Nath Derechos de autor 2019 Rajat Kanti Nath 2019-10-22 2019-10-22 38 4 829 835 10.22199/issn.0717-6279-2019-04-0054 Construction of Sequences of Borderenergetic Graphs <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> Samir K. Vaidya Kalpesh M. Popat Derechos de autor 2019 Samir K. Vaidya, Kalpesh M. Popat 2019-10-22 2019-10-22 38 4 837 847 10.22199/issn.0717-6279-2019-04-0055 New bounds on the distance Laplacian and distance signless Laplacian spectral radii <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> Roberto Carlos Díaz Ana Julio Óscar Rojo Derechos de autor 2019 Roberto Carlos Díaz, Ana Julio, Óscar Rojo 2019-10-22 2019-10-22 38 4 849 873 10.22199/issn.0717-6279-2019-04-0056