Exact Solution for Nonlinear Local Fractional Partial Differential Equations
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Date
2020
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Volume Title
Publisher
Shahid Chamran Univ Ahvaz, Iran
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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.
Description
Hamdi Cherif, Mountassir/0000-0003-3458-1918
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Keywords
Adomian Decomposition Method, Sumudu Transform Method, Local Fractional Derivative Operator, Local Fractional, Nonlinear Local Fractional Gas Dynamics Equation, Nonlinear Local Fractional Klein-Gordon Equation
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Citation
Ziane, Djelloul...et al. (2020). "Exact Solution for Nonlinear Local Fractional Partial Differential Equations", Journal of Applied and Computational Mechanics, Vol. 6, No. 2, pp. 200-208.
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Q1
Source
Journal of Applied and Computational Mechanics
Volume
6
Issue
2
Start Page
200
End Page
208