Results 11 to 20 of about 392,374 (316)

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
doaj   +3 more sources

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
doaj   +4 more sources

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, Fatma Aybike Çuha   +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, Tarig M. Elzaki, Abdelgabar Adam Hassan   +2 more
openaire   +3 more sources

Novel Bäcklund Transformations for Integrable Equations

Mathematics, 2022
In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors. In particular, we show that this matrix equation admits an auto-Bäcklund transformation analogous to that of this matrix fourth Painlevé equation.
Pilar Ruiz Gordoa, Andrew Pickering
openaire   +3 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

Bäcklund transformations between four Lax-integrable 3D equations [PDF]

Journal of Nonlinear Mathematical Physics, 2021
We show that four Lax-integrable 3D differential equations are related via B cklund transformations.
Morozov, Oleg I., Pavlov, Maxim V.
openaire   +2 more sources

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
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Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms

Advances in Differential Equations, 2019
This article deals with the generalization of natural convection flow of Cu−Al2O3−H2O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
M. Saqib, I. Khan, S. Shafie
semanticscholar   +1 more source