Results 31 to 40 of about 392,374 (316)
On the Mohand Transform and Ordinary Differential Equations with Variable Coefficients
مجلة المختار للعلوم, 2020 The Mohand transform is a new integral transform introduced by Mohand M. Abdelrahim Mahgoub to facilitate the solution of differential and integral equations.
Mohamed E. Attaweel, Haneen Almassry
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Fractal and Fractional, 2021 Integral transformations are essential for solving complex problems in business, engineering, natural sciences, computers, optical science, and modern mathematics.
Ahmed I. El-Mesady +2 more
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INTEGRAL TRANSFORM AND FRACTIONAL KINETIC EQUATION
Innovare Journal of Engineering and Technology, 2023 With the help of the Laplace and Fourier transforms, we arrive at the fractional kinetic equation's solution in this paper. Their respective solutions are given in terms of the Fox's H-function and the Mittag-Leffler function, which are also known as the generalisations and the Saigo-Maeda operator-based solution of the generalised fractional kinetic ...
AARTI PATHAK +4 more
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A Generalized Approach of Triple Integral Transforms and Applications
Journal of Mathematics, 2023 In this study, we introduce a novel generalization of triple integral transforms, which is called a general triple transform. We present the definition of the new approach and prove the main properties related to the existence, uniqueness, shifting ...
Rania Saadeh
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A Review on the Integral Transforms [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 Many integral transformations have been proposed, tasted and proven to solve many applications in various scientific fields. The diversity of integral transformations comes from their unique ability to solve problems by transforming them from one domain ...
Jinan Jasim, Emad kuffi, Sadiq Mehdi
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International Journal of Mathematics and Mathematical Sciences, 1986 This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral ...
D. Naylor
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Generalized integral Laplace transform and its application to solving some integral equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We present integral transforms $\widetilde {\mathcal L}\left\{f(t);x\right\}$ and $\widetilde {\mathcal L}_{\gamma_1,\gamma_2,\gamma} \left\{f(t);x\right\}$, generalizing the classical Laplace transform.
Svetlana M Zaikina
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Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels [PDF]
Opuscula Mathematica, 2012 This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications.
Luis P. Castro +2 more
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Positive-Definiteness, Integral Equations and Fourier Transforms
Journal of Integral Equations and Applications, 2004 The authors investigate the integral operator \[ A: L^2(\mathbb{R})\to L^2(\mathbb{R}),\quad (Au)(x)= \int^\infty_{-\infty} k(x,y) u(y)\,dy, \] \(x\in\mathbb{R}\), where \(k\) is positive definite kernel function (a special symmetric kernel). Let \(\widehat k(t,s)\) be the Fourier transform of the kernel \(k\) and \(\widetilde k(t,s):=\widehat k(t,-s)\)
Buescu, J. +3 more
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Transformations between Nonlocal and Local Integrable Equations
Studies in Applied Mathematics, 2017 AbstractRecently, a number of nonlocal integrable equations, such as the ‐symmetric nonlinear Schrödinger (NLS) equation and ‐symmetric Davey–Stewartson equations, were proposed and studied. Here, we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations.
Bo Yang, Jianke Yang
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