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A new general integral transform for solving integral equations [PDF]
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
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On an integral transform [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
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Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform) [PDF]
Abstract and Applied Analysis, 2020 The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations.
Shams A. Ahmed +2 more
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New general integral transform via Atangana–Baleanu derivatives [PDF]
Advances in Difference Equations, 2021 The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral.
M. Meddahi, H. Jafari, M. N. Ncube
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On the Double of the Emad - Falih Transformation and Its Properties with Applications
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 In this paper, we have generalized the concept of one dimensional Emad - Falih integral transform into two dimensional, namely, a double Emad - Falih integral transform.
Saed M. Turq, Emad A. Kuffi
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Applications of Double ARA Integral Transform
Computation, 2022 This paper describes our construction of a new double transform, which we call the double ARA transform (DARAT). Our novel double-integral transform can be used to solve partial differential equations and other problems.
Rania Saadeh
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A novel integral transform operator and its applications [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 The proposed study is focused to introduce a novel integral transform op-erator, called Generalized Bivariate (GB) transform. The proposed trans-form includes the features of the recently introduced Shehu transform, ARA transform, and Formable transform.
Sh. Arora, A. Pasrija
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Proceedings of the Edinburgh Mathematical Society, 1956 Titchmarsh and others [4] havo studied integral transform pairs of tho typeshowing how such pairs may be generated as a consequence of the relation which holds between the Mellin transforms of the kernels.
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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.
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The New Complex Integral Transform "Complex Sadik Transform" and It's Applications
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 In this paper, we introduce a new complex integral transform namely ”Complex Sadik Transform”. The properties of this transformation are investigated. This complex integral transformation is used to reduce the core problem to a simple algebraic equation.
Saed M. Turq, Emad A. Kuffi
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