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
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Dual integral equations involving Weber-Orr transforms [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we consider dual integral equations involving inverse Weber-Orr transforms of the type Wν−k,ν−1[;], k=0,1,…. A general solution is established using elementary methods. Many known results are derived as special cases.
C. Nasim
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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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Fractional Laplace Transforms - A Perspective [PDF]
Frontiers in Physics, 2014 A new form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed.
Rudolf A. Treumann, Wolfgang eBaumjohann
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Axisymmetric solutions to Einstein field equations via integral transforms
Heliyon, 2023 In this paper, we present new axisymmetric and reflection symmetric vacuum solutions to the Einstein field equations. They are obtained using the Hankel integral transform method and all three solutions exhibit naked singularities.
D. Batic, N.B. Debru, M. Nowakowski
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Effects of the ARA transform method for time fractional problems [PDF]
Mathematica Moravica, 2022 The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
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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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Sadik and complex Sadik integral transforms of system of ordinary differential equations
Iraqi Journal for Computer Science and Mathematics, 2023 The integral transforms has an essential role to solve the differential and integral equations. In this paper the Sadik and complex Sadik transforms are discussed in detail through an application study for solving initial value problem iincludes the ...
intidhar zamil, Emad A. Kuffi
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Finding Solutions to Undamped and Damped Simple Harmonic Oscillations via Kashuri Fundo Transform
MANAS: Journal of Engineering, 2023 Differential equations are expressions that are frequently encountered in mathematical modeling of laws or problems in many different fields of science.
Haldun Alpaslan Peker +1 more
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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. The theorems handling fashionable properties of the Laplace–Sumudu transform are proved; the convolution theorem with an evidence is mentioned; then, via the usage of ...
Shams A. Ahmed +2 more
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