Journal
OPTIK
Volume 127, Issue 20, Pages 9571-9577Publisher
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2016.07.012
Keywords
Exact solutions; The (G '/G)-expansion method; The (G '/G,1G) -expansion method; The time fractional Clannish Random; Walker's Parabolic equation
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Funding
- Eskisehir Osmangazi University Scientific Research Projects [2016-1043]
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In this paper, we study the exact solutions of nonlinear time fractional Clannish Random Walker's Parabolic (CRWP) equation. We extend the (G/G) and (G'/G, 1/G1-expansion methods to fractional differential equations in the sense of modified Riemann-Liouville derivative based on fractional complex transformation. We obtained hyperbolic function solutions, trigonometric function solutions and rational function solutions. It was shown that the considered methods and transform are very reliable and efficient for these type fractional equations. These methods and transform can be used in studying many other nonlinear time and space fractional differential equations and nonlinear systems. (C) 2016 Elsevier GmbH. All rights reserved.
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