The Exp-function Method for Some Time-fractional Differential Equations

Ahmet Bekir; Ozkan Guner; Adem Cevikel

doi:10.1109/JAS.2016.7510172

Volume 4 Issue 2

Apr. 2017

IEEE/CAA Journal of Automatica Sinica

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Ahmet Bekir, Ozkan Guner and Adem Cevikel, "The Exp-function Method for Some Time-fractional Differential Equations," IEEE/CAA J. Autom. Sinica, vol. 4, no. 2, pp. 315-321, Apr. 2017. doi: 10.1109/JAS.2016.7510172

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Ahmet Bekir, Ozkan Guner and Adem Cevikel, "The Exp-function Method for Some Time-fractional Differential Equations," IEEE/CAA J. Autom. Sinica, vol. 4, no. 2, pp. 315-321, Apr. 2017. doi: 10.1109/JAS.2016.7510172

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The Exp-function Method for Some Time-fractional Differential Equations

doi: 10.1109/JAS.2016.7510172

1.
Department of Mathematics-computer, Eskisehir Osmangazi University, Eskisehir 26480, Turkey
2.
Department of International Trade, Cankiri Karatekin University, Cankiri 18200, Turkey
3.
Department of Mathematics Education, Yildiz Technical University, Istanbul 34220, Turkey

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Abstract

Abstract

In this article, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Exp-function method are employed for constructing the exact solutions of nonlinear time fractional partial differential equations in mathematical physics. As a result, some new exact solutions for them are successfully established. It is indicated that the solutions obtained by the Exp-function method are reliable, straightforward and effective method for strongly nonlinear fractional partial equations with modified Riemann-Liouville derivative by Jumarie's. This approach can also be applied to other nonlinear time and space fractional differential equations.
- Exact solution,
- exp-function method,
- fractional differential equation

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References

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The Exp-function Method for Some Time-fractional Differential Equations

doi: 10.1109/JAS.2016.7510172

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