Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms” [PDF]
Mathematics, 2023 This editorial text is a short introductory guide to the book edition of the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”, which was published in the MDPI ...
Sergei Sitnik
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Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators [PDF]
Abstract and Applied Analysis, 2013 The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.
Yongqing Zhao +4 more
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Non-homogeneous impulsive time fractional heat conduction equation
Journal of Numerical Analysis and Approximation Theory, 2023 This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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Journal of Function Spaces, 2021 Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan +3 more
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The Integral Mittag-Leffler, Whittaker and Wright Functions
Mathematics, 2021 Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat +1 more
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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Unified Approach to Fractional Calculus Images of Special Functions—A Survey
Mathematics, 2020 Evaluation of images of special functions under operators of fractional calculus has become a hot topic with hundreds of recently published papers. These are growing daily and we are able to comment here only on a few of them, including also some of the ...
Virginia Kiryakova
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Recent Developments in Integral Transforms, Special Functions, and Their Extensions to Distributions Theory [PDF]
Abstract and Applied Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adem Kılıçman +2 more
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Moroccan Journal of Pure and Applied Analysis, 2020 In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna +3 more
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The Bateman Functions Revisited after 90 Years—A Survey of Old and New Results
Mathematics, 2021 The Bateman functions and the allied Havelock functions were introduced as solutions of some problems in hydrodynamics about ninety years ago, but after a period of one or two decades they were practically neglected. In handbooks, the Bateman function is
Alexander Apelblat +2 more
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