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Ekici, Mehmet, Sonmezoglu, Abdullah, Zayed, Elsayed M. E.. (1393). A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics. سامانه مدیریت نشریات علمی, 2(3), 153-170.
Mehmet Ekici; Abdullah Sonmezoglu; Elsayed M. E. Zayed. "A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics". سامانه مدیریت نشریات علمی, 2, 3, 1393, 153-170.
Ekici, Mehmet, Sonmezoglu, Abdullah, Zayed, Elsayed M. E.. (1393). 'A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics', سامانه مدیریت نشریات علمی, 2(3), pp. 153-170.
Ekici, Mehmet, Sonmezoglu, Abdullah, Zayed, Elsayed M. E.. A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics. سامانه مدیریت نشریات علمی, 1393; 2(3): 153-170.

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

Computational Methods for Differential Equations
مقاله 3، دوره 2، شماره 3، مهر 2014، صفحه 153-170    اصل مقاله (539.26 K)
نوع مقاله: Research Paper
نویسندگان
Mehmet Ekici* 1؛ Abdullah Sonmezoglu2؛ Elsayed M. E. Zayed3
1Department of Mathematics, Faculty of Science and Arts, Bozok University, Yozgat, Turkey
2Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey
3Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
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
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