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The Approximate Solutions of Three-Dimensional Diffusion and Wave Equations within Local Fractional Derivative Operator

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  • Hassan Kamil Jassim

Abstract

We used the local fractional variational iteration transform method (LFVITM) coupled by the local fractional Laplace transform and variational iteration method to solve three-dimensional diffusion and wave equations with local fractional derivative operator. This method has Lagrange multiplier equal to minus one, which makes the calculations more easily. The obtained results show that the presented method is efficient and yields a solution in a closed form. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new method.

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  • Hassan Kamil Jassim, 2016. "The Approximate Solutions of Three-Dimensional Diffusion and Wave Equations within Local Fractional Derivative Operator," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-5, October.
    • Handle: RePEc:hin:jnlaaa:2913539
    DOI: 10.1155/2016/2913539
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    Cited by:

    1. M. Mossa Al-Sawalha & Ravi P. Agarwal & Rasool Shah & Osama Y. Ababneh & Wajaree Weera, 2022. "A Reliable Way to Deal with Fractional-Order Equations That Describe the Unsteady Flow of a Polytropic Gas," Mathematics, MDPI, vol. 10(13), pages 1-13, June.

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