•Journal•ISSN: 1841-3307

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

De Gruyter Open

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.

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TL;DR: In this paper, a generalized form of the extended Hurwitz-Lerch Zeta function is considered, which includes various integral representations, a differential formula, Mellin transforms and certain generating relations.

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.

18 citations

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TL;DR: In this paper, a ring-cut method was proposed to count eccentricity connectivity polynomial ECP(Hk) and eccentricity correlation connectivity index (ICI) of a simple connected molecular graph.

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).

13 citations

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TL;DR: In this paper, the generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. But, the problem of conformable fractional derivative is not addressed.

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.

13 citations

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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.

13 citations

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TL;DR: In this article, 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.

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.

12 citations