Annals of the West University of Timisoara: Mathematics and Computer Science 

About: Annals of the West University of Timisoara: Mathematics and Computer Science is an academic journal published by De Gruyter Open. The journal publishes majorly in the area(s): Banach space & Nonlinear system. It has an ISSN identifier of 1841-3307. It is also open access. Over the lifetime, 171 publications have been published receiving 405 citations. The journal is also known as: Analele Universităţii de Vest din Timişoara. Seria matematică-informatică (Online) & Analele Universităţii din Timişoara. Seria matematică-informatică.

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Abstract: Abstract Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential formula, Mellin transforms and certain generating relations. We further consider an application to probability distributions and also point out some important special cases of the main results.

Computing Eccentricity Connectivity Polynomial of Circumcoronene Series of Benzenoid Hk by Ring-Cut Method

Abstract: Let G =( V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices represent atoms and edges represent chemical bonds, we denoted the sets of vertices and edges by V = V (G )a ndE = E(G), respectively. If d(u, v )b e the notation of distance between vertices u, v ∈ V and is defined as the length of a shortest path connecting them. Then, Eccen- tricity connectivity polynomial of a molecular graph G is defined as ECP(G, x )= v∈V dG(v)x ecc(v) ,w hereecc(v) is defined as the length of a maximal path connecting to another vertex of v. dG(v )( or simplydv) is degree of a vertex v ∈ V (G), and is defined as the number of adjacent vertices with v. In this paper, we fo- cus on the structure of molecular graph circumcoronene series of benzenoid Hk (k ≥ 2) and counting the eccentricity connectivity polynomial ECP(Hk) and eccentricity connectivity index ξ(Hk), by new method (called Ring-cut Method).

On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System

Abstract: Abstract In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure. Tanh method with conformable derivative firstly introduced in the literature. By the graphics of analytical and approximate solutions, it is shown that, both methods provide an effective and powerful mathematical tool for solving nonlinear PDEs containing conformable fractional derivative.

Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators

Abstract: Abstract In this paper, we introduce and study the class of enriched strictly pseudocontractive mappings in Hilbert spaces and extend some convergence theorems, i.e., Theorem 12 in [Brow-der, F. E., Petryshyn, W. V., Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. 20 (1967), 197–228] and Theorem 3.1 in [Marino, G., Xu, H.-K., Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), no. 1, 336–346], from the class of strictly pseudocontractive mappings to that of enriched strictly pseudocontractive mappings and thus include many other important related results from literature as particular cases.

Positive solutions of a nonlinear fourth-order integral boundary value problem

Abstract: In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii's fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained.