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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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New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is
Shehu Maitama, Weidong Zhao
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The Modified Integral Transform Method to Solve Heat Equation in a Cylindrical Coordinate [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 This paper investigated a modified integral transform method used to solve heat equation in cylindrical coordinate, this modification method has been obtained based on integral transform (x-coordinate), we expand integral transform (x ...
Ahmed Jalal, Ahmed Jassim
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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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New general integral transform via Atangana–Baleanu derivatives
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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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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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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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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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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The fractional Clifford-Fourier transform [PDF]
, 2012 In this paper, a fractional version of the Clifford-Fourier transform is introduced, depending on two numerical parameters. A series expansion for the kernel of the resulting integral transform is derived.
De Bie, Hendrik, De Schepper, Nele
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