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Approximate analytical solutions of Goursat problem within local fractional operators

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Date

2016

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Int Scientific Research Publications

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Abstract

The local fractional differential transform method (LFDTM) and local fractional decomposition method (LFDM) are applied to implement the homogeneous and nonhomogeneous Goursat problem involving local fractional derivative operators. The approximate analytical solution of this problem is calculated in form of a series with easily computable components. Examples are studied in order to show the accuracy and reliability of presented methods. We demonstrate that the two approaches are very effective and convenient for finding the analytical solutions of partial differential equations with local fractional derivative operators. (C) 2016 All rights reserved.

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Keywords

Goursat Problem, Local Fractional Differential Transform Method, Local Fractional Decomposition Method, Analytical Solutions, Local Fractional Derivative Operators

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Citation

Baleanu, Dumitru; Jassim, Hassan Kamil; Al Qurashi, Maysaa, "Approximate analytical solutions of Goursat problem within local fractional operators", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 6, pp. 4829-4837, (2016).

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Source

Journal of Nonlinear Sciences and Applications

Volume

9

Issue

6

Start Page

4829

End Page

4837