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Zbl 1242.35217
Zhang, Sheng; Zhang, Hong-Qing
Fractional sub-equation method and its applications to nonlinear fractional PDEs. (English)
[J] Phys. Lett., A 375, No. 7, 1069-1073 (2011). ISSN 0375-9601

Summary: A fractional sub-equation method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, the nonlinear time fractional biological population model and (4+1)-dimensional space-time fractional Fokas equation are considered. As a result, three types of exact analytical solutions are obtained.
MSC 2000:
*35R11
26A33 Fractional derivatives and integrals (real functions)
35Q92

Keywords: sub-equation method; fractional differential equation; modified Riemann-Liouville derivative; exact solution

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