Journal of Applied and Computational Mechanics

Exact Solution for Nonlinear Local Fractional Partial Differential Equations

Document Type : Research Paper

Authors

1 Laboratory of Mathematics and its Applications (LAMAP), University of Oran1, Oran, Algeria

2 Department of Mathematics, Cankaya University, Ankara, Turkey

3 Institute of Space Sciences, Magurele-Bucharest, Romania

Abstract

In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples and the results obtained, showed the flexibility of applying this algorithm, and therefore, it can be applied to similar examples.

Keywords

Main Subjects

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Journal of Applied and Computational Mechanics
Volume 6, Issue 2
April 2020
Pages 200-208