Exact solutions of some fractional differential equations by various expansion methods

International Conference on Quantum Science and Applications 2016

Topsakal, Muammer^1 ; Guner, Ozkan^2 ; Bekir, Ahmet^1 ; Unsal, Omer^1

Eskisehir Osmangazi University, Department of Mathematics, Eskisehir

26480, Turkey^1

Cankiri Karatekin University, Department of International Trade, Cankiri

18100, Turkey^2

关键词: Applied mathematics;    Exact solution;    Expansion methods;    Fractional differential equations;    Mathematical physics;    Modified Riemann-Liouville derivative;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012035/pdf
DOI  :  10.1088/1742-6596/766/1/012035

来源: IOP

【 摘 要 】

In this paper, we construct the exact solutions of some nonlinear spacetime fractional differential equations involving modified Riemann-Liouville derivative in mathematical physics and applied mathematics; namely the fractional modified Benjamin-Bona- Mahony (mBBM) and Kawahara equations by using G'/G and (G'/G, 1/G)-expansion methods.