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2013 Computational Solution of a Fractional Integro-Differential Equation
Muhammet Kurulay, Mehmet Ali Akinlar, Ranis Ibragimov
Abstr. Appl. Anal. 2013(SI50): 1-4 (2013). DOI: 10.1155/2013/865952

Abstract

Although differential transform method (DTM) is a highly efficient technique in the approximate analytical solutions of fractional differential equations, applicability of this method to the system of fractional integro-differential equations in higher dimensions has not been studied in detail in the literature. The major goal of this paper is to investigate the applicability of this method to the system of two-dimensional fractional integral equations, in particular to the two-dimensional fractional integro-Volterra equations. We deal with two different types of systems of fractional integral equations having some initial conditions. Computational results indicate that the results obtained by DTM are quite close to the exact solutions, which proves the power of DTM in the solutions of these sorts of systems of fractional integral equations.

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Muhammet Kurulay. Mehmet Ali Akinlar. Ranis Ibragimov. "Computational Solution of a Fractional Integro-Differential Equation." Abstr. Appl. Anal. 2013 (SI50) 1 - 4, 2013. https://doi.org/10.1155/2013/865952

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095448
MathSciNet: MR3090288
Digital Object Identifier: 10.1155/2013/865952

Rights: Copyright © 2013 Hindawi

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