Results 31 to 40 of about 98 (93)
On Hankel Transform of Generalized Mathieu Series [PDF]
, 2009 Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu ...
Tomovski, Živorad
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A Study of Third-order KdV and mKdV Equations by Laplace Decomposition Method
, 2022 In this article, the Laplace decomposition method is implementedto solve nonlinear partial differential equations. Third-order KdVand mKdV equations with initial conditions have been considered to checkthe validity of the proposed method.
S. S. Handibag +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a generalized Laplace transform, denoted by Lϕ, defined through a strictly increasing kernel function ϕ(t). Unlike prior works that focus on formal definitions, our framework unifies classical, Gaussian, and Mellin‐type transforms while providing a systematic operational calculus.
Rubayyi T. Alqahtani +2 more
wiley +1 more source
A Parseval‐Goldstein type theorem on the widder potential transform and its applications
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 517-524, 1991., 1990 In this paper a Parseval‐Goldstein type theorem involving the Widder potential transform and a Laplace type integral transform is given. The theorem is then shown to yield a relationship between the 𝒦‐transform and the Laplace type integral transform. The theorem yields some simple algorithms for evaluating infinite integrals. Using the theorem and its
O. Yürekli, I. Sadek
wiley +1 more source
Convolution Products in L1(R+), Integral Transforms and Fractional Calculus [PDF]
, 2005 Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER ...
Miana, Pedro
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Solutions of certain initial-boundary value problems via a new extended Laplace transform
Nonlinear EngineeringIn this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya +2 more
doaj +1 more source
A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit +4 more
wiley +1 more source
Exact Analytical Solutions of Linear DissipativeWave Equations via Laplace Transform Method
, 2021 A wave phenomena evolved day after day, as various conceptsregarding waves appeared with the passage of time. These phenomenaare generally modelled mathematically by partial differential equations(PDEs).
Muhammad Jamil; Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag +5 more
wiley +1 more source
A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for the fractional differential equations and fractional kinetic equations expressed in terms of Prabhakar’s Mittag ...
B. B. Jaimini +5 more
wiley +1 more source