Results 31 to 40 of about 342,487 (164)
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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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
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Mellin transform of quartic products of shifted Airy functions
, 2015 The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented.Comment: Submitted to ...
Abramochkin, E. G., Razueva, E. V.
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Trkalian fields: ray transforms and mini-twistors
, 2013 We study X-ray and Divergent beam transforms of Trkalian fields and their relation with Radon transform. We make use of four basic mathematical methods of tomography due to Grangeat, Smith, Tuy and Gelfand-Goncharov for an integral geometric view on them.
Bailey T. N. +33 more
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On Integral Transforms and Matrix Functions
Abstract and Applied Analysis, 2011 The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.
Hassan Eltayeb +2 more
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Integral Transforms in Number Theory
AxiomsIntegral transforms play a fundamental role in science and engineering. Above all, the Fourier transform is the most vital, which has some specifications—Laplace transform, Mellin transform, etc., with their inverse transforms. In this paper, we restrict
Guodong Liu +2 more
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Moroccan Journal of Pure and Applied Analysis, 2020 In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna +3 more
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Unification of integral transforms and their applications
Partial Differential Equations in Applied MathematicsAn integral transform called BA-transform is introduced in this work, which yields a known number of transforms by changing variables. We prove that Laplace, Sumudu, Natural, Elzaki, Aboodh, Tarig, Srivastava, Kamal, Laplace–Carson, Mohand, Shehu and ...
A. Belafhal, R. El Aitouni, T. Usman
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Fractional Transforms in Optical Information Processing
EURASIP Journal on Advances in Signal Processing, 2005 We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant ...
Maria Luisa Calvo +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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