Results 11 to 20 of about 5,273 (265)
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
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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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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 +2 more
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A transition integral transform obtained from generalization of the Fourier transform
Ain 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
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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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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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Dual integral equations involving Weber-Orr transforms
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
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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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Abel's Integral Equation as a Convolution Transform [PDF]
Proceedings of the American Mathematical Society, 1956 the first equation to be treated and solved as an integral equation, has an extensive literature, dealing on the one hand with properties of the functions involved, and on the other hand with the solution, and conditions for solubility of the equation. In the first category one might cite, in the modern spirit, the memoirs of Hardy [1, pp.
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