Special Issue "Mathematical Analysis and Applications II"

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 30 November 2019

Special Issue Editor

Guest Editor
Prof. H. M. Srivastava

University of Victoria, Canada
Website | E-Mail
Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modelling and optimization

Special Issue Information

Dear Colleagues,

This issue is a continuation of the previous successful Special Issue “Mathematical Analysis and Applications”.

Investigations involving the theory and applications of mathematical analytical tools and techniques are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.

We look forward to your contributions to this Special Issue.

Best wishes,

Prof. Dr. Hari Mohan Srivastava
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 350 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Mathematical (or Higher Transcendental) Functions and Their Applications
  • Fractional Calculus and Its Applications
  • q-Series and q-Polynomials
  • Analytic Number Theory
  • Special Functions of Mathematical Physics and Applied Mathematics
  • Geometric Function Theory of Complex Analysis

Related Special Issue

Published Papers (5 papers)

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Research

Open AccessArticle Fixed Point Results in Partial Symmetric Spaces with an Application
Received: 8 December 2018 / Revised: 5 January 2019 / Accepted: 15 January 2019 / Published: 22 January 2019
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Abstract
In this paper, we first introduce the class of partial symmetric spaces and then prove some fixed point theorems in such spaces. We use one of the our main results to examine the existence and uniqueness of a solution for a system of [...] Read more.
In this paper, we first introduce the class of partial symmetric spaces and then prove some fixed point theorems in such spaces. We use one of the our main results to examine the existence and uniqueness of a solution for a system of Fredholm integral equations. Furthermore, we introduce an analogue of the Hausdorff metric in the context of partial symmetric spaces and utilize the same to prove an analogue of the Nadler contraction principle in such spaces. Our results extend and improve many results in the existing literature. We also give some examples exhibiting the utility of our newly established results. Full article
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Open AccessArticle A New Identity for Generalized Hypergeometric Functions and Applications
Received: 19 November 2018 / Revised: 28 December 2018 / Accepted: 14 January 2019 / Published: 18 January 2019
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Abstract
We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized [...] Read more.
We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized hypergeometric functions, Axioms, 7 (2018), Article 38). Full article
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Open AccessArticle Extended Partial Sb-Metric Spaces
Received: 18 October 2018 / Revised: 17 November 2018 / Accepted: 18 November 2018 / Published: 21 November 2018
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Abstract
In this paper, we introduce the concept of extended partial Sb-metric spaces, which is a generalization of the extended Sb-metric spaces. Basically, in the triangle inequality, we add a control function with some very interesting properties. These new metric [...] Read more.
In this paper, we introduce the concept of extended partial S b -metric spaces, which is a generalization of the extended S b -metric spaces. Basically, in the triangle inequality, we add a control function with some very interesting properties. These new metric spaces generalize many results in the literature. Moreover, we prove some fixed point theorems under some different contractions, and some examples are given to illustrate our results. Full article
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Open AccessArticle On the Fixed-Circle Problem and Khan Type Contractions
Received: 18 October 2018 / Revised: 31 October 2018 / Accepted: 5 November 2018 / Published: 8 November 2018
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Abstract
In this paper, we consider the fixed-circle problem on metric spaces and give new results on this problem. To do this, we present three types of FC-Khan type contractions. Furthermore, we obtain some solutions to an open problem related to the [...] Read more.
In this paper, we consider the fixed-circle problem on metric spaces and give new results on this problem. To do this, we present three types of F C -Khan type contractions. Furthermore, we obtain some solutions to an open problem related to the common fixed-circle problem. Full article
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Open AccessArticle Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces
Received: 18 September 2018 / Revised: 14 October 2018 / Accepted: 15 October 2018 / Published: 25 October 2018
Cited by 1 | PDF Full-text (789 KB) | HTML Full-text | XML Full-text
Abstract
The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty (α,ψ,ϕ)-quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an application to show [...] Read more.
The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty ( α , ψ , ϕ ) -quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an application to show the superiority of our results. The obtained results progress some well-known fixed (common fixed) point results in the literature. Our main results cannot be specifically attained from the corresponding metric space versions. This paper is scientifically novel because we take Geraghty contraction self-mapping in partially ordered metric-like spaces via α admissible mapping. This opens the door to other possible fixed (common fixed) point results for non-self-mapping and in other generalizing metric spaces. Full article
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
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