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Guner, O., Bekir, A. (2018). Solving nonlinear space-time fractional differential equations via ansatz method. Computational Methods for Differential Equations, 6(1), 1-11.
Ozkan Guner; Ahmet Bekir. "Solving nonlinear space-time fractional differential equations via ansatz method". Computational Methods for Differential Equations, 6, 1, 2018, 1-11.
Guner, O., Bekir, A. (2018). 'Solving nonlinear space-time fractional differential equations via ansatz method', Computational Methods for Differential Equations, 6(1), pp. 1-11.
Guner, O., Bekir, A. Solving nonlinear space-time fractional differential equations via ansatz method. Computational Methods for Differential Equations, 2018; 6(1): 1-11.

Solving nonlinear space-time fractional differential equations via ansatz method

Article 1, Volume 6, Issue 1, Winter 2018, Page 1-11  XML PDF (253 K)
Document Type: Research Paper
Authors
Ozkan Guner 1; Ahmet Bekir2
1Cankiri Karatekin University, Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri, Turkey
2Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey
Receive Date: 06 April 2017,  Revise Date: 05 October 2017,  Accept Date: 28 November 2017 
Abstract
In this paper, the fractional partial differential equations are defined by modified Riemann-Liouville fractional derivative. With the help of fractional derivative and fractional complex transform, these equations can be converted into the nonlinear ordinary differential equations. By using solitay wave ansatz method, we find exact analytical solutions of the space-time fractional Zakharov Kuznetsov Benjamin Bona Mahony (ZK-BBM) equation, the space-time fractional Klein-Gordon equation and the space-time fractional modified Regularized Long Wave (RLW) equation. This method can be suitable and more powerful for solving other kinds of nonlinear FDEs arising in mathematical physics.
Keywords
Ansatz method; Exact solution; Space-time fractional differential equations
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