2019
DOI: 10.1002/zamm.201800236
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Local radial basis function scheme for solving a class of fractional integro‐differential equations based on the use of mixed integral equations

Abstract: Integro‐differential equations with non‐integer order derivatives are an all‐purpose subdivision of fractional calculus. In the current paper, we present a numerical method for solving fractional Volterra‐Fredholm integro‐differential equations of the second kind. To establish the scheme, we first convert these types of integro‐differential equations to mixed integral equations by fractional integrating from both sides of them. Then, the discrete collocation method by combining the locally supported radial bas… Show more

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Cited by 7 publications
(1 citation statement)
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“…The computational algorithms have been obtained via the reproducing kernel method for several types of integro-differential equations [1] with periodic boundary conditions [2,3]. Locally supported RBFs have been developed for solving a type of integro-differential equations of fractional differential order [7]. This paper contains a numerical scheme to solve the equation (1).…”
Section: Introductionmentioning
confidence: 99%
“…The computational algorithms have been obtained via the reproducing kernel method for several types of integro-differential equations [1] with periodic boundary conditions [2,3]. Locally supported RBFs have been developed for solving a type of integro-differential equations of fractional differential order [7]. This paper contains a numerical scheme to solve the equation (1).…”
Section: Introductionmentioning
confidence: 99%