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October 2019 An efficient method for solving nonlinear time-fractional wave-like equations with variable coefficients
Ali Khalouta, Abdelouahab Kadem
Tbilisi Math. J. 12(4): 131-147 (October 2019). DOI: 10.32513/tbilisi/1578020573

Abstract

In this paper, fractional residual power series method (FRPSM) is effectively applied for finding the approximate analytical solutions of general nonlinear time-fractional wave-like equations with variable coefficients. This method based on constructing series solutions in a form of rapidly convergent series with easily computable components and without need of linearization, discretization, perturbation or unrealistic assumptions. Numerical results are given and then they are compared with the exact solutions both numerically and graphically. By numerical examples, it is shown that the FRPSM is very simple, efficient and convenient for solving different forms of nonlinear fractional partial differential equations.

Acknowledgment

The authors would like to thank Professor Hvedri Inassaridze (Editor-in-Chief) as well as the anonymous referees who has made valuable and careful comments, which improved the paper considerably.

Citation

Download Citation

Ali Khalouta. Abdelouahab Kadem. "An efficient method for solving nonlinear time-fractional wave-like equations with variable coefficients." Tbilisi Math. J. 12 (4) 131 - 147, October 2019. https://doi.org/10.32513/tbilisi/1578020573

Information

Received: 10 May 2019; Accepted: 30 October 2019; Published: October 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07104577
MathSciNet: MR4047581
Digital Object Identifier: 10.32513/tbilisi/1578020573

Subjects:
Primary: 35R11
Secondary: 26A33, 35C05, 74G10

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 4 • October 2019
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