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The G'/G2 - Expansion Method for Solving Fractional Burgers - Fisher and Burgers Equations
Applied and Computational Mathematics
Volume 9, Issue 3, June 2020, Pages: 56-63
Received: Apr. 18, 2020; Accepted: May 12, 2020; Published: May 27, 2020
Author
Abaker A. Hassaballa, Department of Mathematics, College of Applied & Industrial Sciences, Bahri University, Khartoum, Sudan; Department of Mathematics, Faculty of Science, Northern Border University, Arar, KSA
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Abstract
In this paper, we apply G’/G2-Expansion method to discover a strategy for the approximate solution of the generalized fractional Burger-Fisher equation and fractional Burger equation. The given fractional Burger-Fisher and burger equation through substitution are converted into nonlinear ordinary differential equations, in the sense of the Jumarie’s modified Riemann-Liouville fractional derivative. The travelling wave solution is approximated by the G’/G2-Expansion method with unknown parameters that can be expressed by trigonometric functions, exponential functions, hyperbolic functions and rational functions. These results reveal that the proposed method is very effective and simple in performing a solution to the nonlinear fractional partial differential equation.
Keywords
G’/G2-expansion Method, Burgers-Fisher Equation, Burgers Equation
Abaker A. Hassaballa, The G'/G2 - Expansion Method for Solving Fractional Burgers - Fisher and Burgers Equations, Applied and Computational Mathematics. Vol. 9, No. 3, 2020, pp. 56-63. doi: 10.11648/j.acm.20200903.12
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