Results 1 to 10 of about 1,891,981 (284)

A new general integral transform for solving integral equations [PDF]

open access: yesJournal 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   +4 more sources

A transition integral transform obtained from generalization of the Fourier transform

open access: yesAin Shams Engineering Journal, 2019
We introduce a generalized integral transform (GIT) whose integration path lies on the complex plane. The GIT has both bilateral and unilateral versions, and generalizes a set of known integral transforms, e.g. Fourier, Laplace, allowing to solve integro-
Rafael G. González-Acuña   +1 more
doaj   +3 more sources

An Approximation Formula of the Integral Transform on Wiener Space

open access: yesAxioms
In this paper, we introduce an integral transform with a kernel defined on the Wiener space. We first establish the existence of the integral transform and present several illustrative examples.
Hyun Soo Chung
doaj   +3 more sources

New general integral transform via Atangana–Baleanu derivatives

open access: yesAdvances 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
doaj   +1 more source

Applications of Double ARA Integral Transform

open access: yesComputation, 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
doaj   +1 more source

On the Double of the Emad - Falih Transformation and Its Properties with Applications

open access: yesIbn 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
doaj   +1 more source

A novel integral transform operator and its applications [PDF]

open access: yesIranian 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

Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)

open access: yesAbstract 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
doaj   +1 more source

On Integral Transforms [PDF]

open access: yesProceedings 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.
openaire   +1 more source

The New Complex Integral Transform "Complex Sadik Transform" and It's Applications

open access: yesIbn 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
doaj   +1 more source

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