A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics

نویسندگان
Sonmezoglu, Abdullah ID 1
Ekici, Mehmet ID 2
Zayed, Elsayed M. E. ID 3

1 Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey

2 Department of Mathematics, Faculty of Science and Arts, Bozok University, Yozgat, Turkey

3 Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

doi
چکیده

In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity and advantages of the novel method. As a result, some new exact solutions including solitary wave solutions and periodic wave solutions are successfully obtained. The proposed approach can also be applied to other nonlinear FPDEs arising in mathematical physics.

کلیدواژه‌ها
Fractional sub-equation method, fractional partial differential equations, Exact solutions, modified Riemann-Liouville derivative