Results 21 to 30 of about 5,273 (265)
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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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
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Bäcklund transformations for integrable lattice equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We give new Backlund transformations (BTs) for some known integrable (in the sense of being multidimensionally consistent) quadrilateral lattice equations. As opposed to the natural auto-BT inherent in every such equation, these BTs are of two other kinds. Specifically, it is found that some equations admit additional auto-BTs (with Backlund parameter),
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A note on dual integral equations involving inverse associated Weber-Orr transforms
International Journal of Mathematics and Mathematical Sciences, 1996 We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind. Some known results are obtained as special case.
Nanigopal Mandal, B. N. Mandal
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On One Integral Equation in the Theory of Transform Operators [PDF]
Computational Mathematics and Mathematical Physics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear integrable equations and nonlinear Fourier transform [PDF]
, 1997 In the paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Korteweg-de Vries , the nonlinear Schrödinger and the Davey-Stewartson equations.
Fokas, A. S. +2 more
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A New Approach on Transforms: Formable Integral Transform and Its Applications
Axioms, 2021 In this paper, we introduce a new integral transform called the Formable integral transform, which is a new efficient technique for solving ordinary and partial differential equations.
Rania Zohair Saadeh +1 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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Fractional Calculus, Gegenbauer Transformations, and Integral Equations
Journal of Mathematical Analysis and Applications, 1995 This well organized paper starts with discussions of the Weyl and the Riemann-Liouville fractional calculi. A number of identities which connect these fractional integral operators with the Erdélyi-Kober and other operators are developed. The Rodrigues formula for Gegenbauer polynomials is then generalized to an integral relation for Gegenbauer ...
van Berkel, C.A.M. +1 more
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