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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
doaj   +8 more sources

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   +2 more sources

A New Approach on Transforms: Formable Integral Transform and Its Applications

Axioms, 2021
In this paper, we introduce a new integral transform called the Formable integral transform, which is a new efficient technique for solving ordinary and partial differential equations.
Rania Zohair Saadeh, Bayan fu’ad Ghazal   +1 more
doaj   +2 more sources

Applications of Mohand Transform

Journal of Innovative Science and Engineering
Investigating solutions of differential equations has been an important issue for scientists. Researchers around the world have talked about different methods to solve differential equations.
Nihal ÖZDOĞAN
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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
doaj   +5 more sources

A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations

Fractal and Fractional, 2023
In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations for the two types (3D-MVFIEK2).
A. Mahdy, Abbas S. Nagdy, Khaled M. Hashem, D. Mohamed   +3 more
semanticscholar   +1 more source

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
doaj   +1 more source

On Laplace transforms with respect to functions and their applications to fractional differential equations

Mathematical methods in the applied sciences, 2021
An important class of fractional differential and integral operators is given by the theory of fractional calculus with respect to functions, sometimes called Ψ‐fractional calculus.
Hafiz Muhammad Fahad, M. Rehman, A. Fernandez   +2 more
semanticscholar   +1 more source

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
doaj   +1 more source