Results 21 to 30 of about 510 (151)
Mathematical Modelling and Analysis, 2015 The aim of the present paper is to introduce a block by block method for solving system of nonlinear Volterra integral equations with continuous kernels and system of Abel integral equations.
Roghayeh Katani, Sedaghat Shahmorad
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Two special functions, concerning Mittag-Leffler type functions, are studied. The first is the modification of generalized Mittag–Leffler function, which was introduced by A. A. Kilbas and M. Saigo; the second is the special case of the first one.
E. N. Ogorodnikov
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The boundary value problem with data given on the parallel characteristics for the system of hyperbolic equations with the wave operator and the singular matrix coefficient at the lower derivative is considered in the characteristic square.
Rina Rinatovna Rayanova
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Approximate solution of Abel integral equation
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Li, Huang, Yong, Li, Xian-Fang
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Journal of Applied Mathematics, 2015 User friendly algorithm based on the optimal homotopy analysis transform method (OHATM) is proposed to find the approximate solutions to generalized Abel’s integral equations.
Mohamed S. Mohamed +3 more
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SOLUTION OF ABEL‐TYPE HYPERGEOMETRIC INTEGRAL EQUATION
Mathematical Modelling and Analysis, 1997 The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are proved and two forms for its solution are given.
Kilbas, A. A. +3 more
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On Bernstein Polynomials Method to the System of Abel Integral Equations
Abstract and Applied Analysis, 2014 This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the
A. Jafarian +3 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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Homotopy analysis transform method for solving Abel’s integral equations of the first kind
Ain Shams Engineering Journal, 2016 In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the
Samad Noeiaghdam +2 more
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New Numerical Approach for Solving Abel’s Integral Equations
Foundations of Computing and Decision Sciences, 2021 Abstract In this article, we present an efficient method for solving Abel’s integral equations. This important equation is consisting of an integral equation that is modeling many problems in literature. Our proposed method is based on first taking the truncated Taylor expansions of the solution function and fractional derivatives, then ...
Şenel Anapalı, Ayşe +2 more
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