Document Type : Research Paper
Department of Mathematics, Faculty of Science and Arts, Bozok University, Yozgat, Turkey
Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
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.