Results 1 to 10 of about 10,679 (261)
A new general integral transform for solving integral equations
Journal of Advanced Research, 2021 Introduction: Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic equation that can be solved easily.During ...
Hossein Jafari
doaj +3 more sources
Some Schemata for Applications of the Integral Transforms of Mathematical Physics
Mathematics, 2019 In this survey article, some schemata for applications of the integral transforms of mathematical physics are presented. First, integral transforms of mathematical physics are defined by using the notions of the inverse transforms and generating ...
Yuri Luchko
doaj +3 more sources
New applications of the new general integral transform method with different fractional derivatives
Alexandria Engineering Journal, 2023 Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this ...
Ali Akgül +4 more
doaj +1 more source
A Generalized Approach of Triple Integral Transforms and Applications
Journal of Mathematics, 2023 In this study, we introduce a novel generalization of triple integral transforms, which is called a general triple transform. We present the definition of the new approach and prove the main properties related to the existence, uniqueness, shifting ...
Rania Saadeh
doaj +1 more source
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
doaj +1 more source
Some Properties and Applications of a New General Triple Integral Transform “Gamar Transform’’
Complexity, 2023 The goal of this study is to suggest a new general triple integral transform known as Gamar transform. Next, we compare the current transform to a number of existing triple integral transforms such as those by Laplace, Sumudu, Elzaki, Aboodh, and Laplace–
Abdelilah Kamal H. Sedeeg
doaj +1 more source
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
doaj +1 more source
A Generalization of Integral Transform
European Journal of Pure and Applied Mathematics, 2018 In this paper, the generalization of integral transform (GIT) of the func-tion G{f (t)} is introduced for solving both differential and interodif-ferential equations. This transform generalizes the integral transformswhich use exponential functions as their kernels and the integral trans-form with polynomial function as a kernel.
Barnes, Benedict, Sebil, C., Quaye, A.
openaire +3 more sources
Local fractional Elzaki transform and its application to local fractional differential equations
Journal of New Results in Science, 2021 The objective of our work is to couple the Elzaki transform method and the local fractional derivative which is called local fractional Elzaki transform, where we have provided important results of this transformation as local fractional Laplace-Elzaki ...
Mountassir Hamdi Cherif, Djelloul Ziane
doaj +1 more source
Fractal and Fractional, 2021 Integral transformations are essential for solving complex problems in business, engineering, natural sciences, computers, optical science, and modern mathematics.
Ahmed I. El-Mesady +2 more
doaj +1 more source