Integral Transformation, Operational Calculus and Their Applications III

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 2270

Special Issue Editor


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Guest Editor
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
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 modeling and optimization
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Special Issue Information

Dear Colleagues,

The theory and applications of integral transformations and associated operational calculus 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 on the topics of integral transformations and operational calculus as well as their multidisciplinary applications involving their symmetry properties and characteristics.

Prof. Dr. Hari Mohan Srivastava
Guest Editor

Manuscript Submission Information

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Keywords

  • integral transformations and integral equations as well as other related operators including their symmetry properties and characteristics
  • applications involving mathematical (or higher transcendental) functions including their symmetry properties and characteristics
  • applications involving fractional-order differential and differintegral equations and their associated symmetry
  • applications involving symmetrical aspect of geometric function theory of complex analysis
  • applications involving q-series and q-polynomials and their associated symmetry
  • applications involving special functions of mathematical physics and applied mathematics and their symmetrical aspect
  • applications involving analytic number theory and symmetry

Published Papers (1 paper)

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Research

12 pages, 303 KiB  
Article
Modified Fractional Difference Operators Defined Using Mittag-Leffler Kernels
by Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Dumitru Baleanu and Khadijah M. Abualnaja
Symmetry 2022, 14(8), 1519; https://doi.org/10.3390/sym14081519 - 25 Jul 2022
Cited by 10 | Viewed by 1557
Abstract
The discrete fractional operators of Riemann–Liouville and Liouville–Caputo are omnipresent due to the singularity of the kernels. Therefore, convexity analysis of discrete fractional differences of these types plays a vital role in maintaining the safe operation of kernels and symmetry of discrete delta [...] Read more.
The discrete fractional operators of Riemann–Liouville and Liouville–Caputo are omnipresent due to the singularity of the kernels. Therefore, convexity analysis of discrete fractional differences of these types plays a vital role in maintaining the safe operation of kernels and symmetry of discrete delta and nabla distribution. In their discrete version, the generalized or modified forms of various operators of fractional calculus are becoming increasingly important from the viewpoints of both pure and applied mathematical sciences. In this paper, we present the discrete version of the recently modified fractional calculus operator with the Mittag-Leffler-type kernel. Here, in this article, the expressions of both the discrete nabla derivative and its counterpart nabla integral are obtained. Some applications and illustrative examples are given to support the theoretical results. Full article
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