Results 1 to 10 of about 5,273 (265)
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
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
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
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
doaj +1 more source
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
doaj +1 more source
On a New Integral Transform and Differential Equations [PDF]
Mathematical Problems in Engineering, 2010 Integral transform method is widely used to solve the several differential equations with the initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform was introduced as a new integral transform by Watugala to solve some ordinary differential equations in control engineering.
Kilicman, Adem, Eltayeb, Hassan
openaire +2 more sources
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
Polyconvolution of Hartley integral transforms $H_2$ and integral equations
Journal of Integral Equations and Applications, 2020 The authors introduce a polyconvolution \(\ast(f,g,h)(x)\) of functions \(f,g\) and \(h\) for the Hartley integral transform \(H_2\). It is shown that the polyconvolution satisfies the factorization equality \[ H_2(f\ast_2 g)(y)=(H_2f)(y)(H_2g)(y)(H_2h)(y),\qquad \forall y\in \mathbb R. \] The existence of the polyconvolution in the space \(L_1(\mathbb
Khoa, Nguyen Minh, Thang, Tran Van
openaire +3 more sources
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
doaj +1 more source