Fractional sub-equation method and its applications to nonlinear fractional PDEs |
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| Authors: | Sheng Zhang Hong-Qing Zhang |
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| Institution: | a Department of Mathematics, Bohai University, Jinzhou 121013, PR China
b School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | 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. |
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| Keywords: | Sub-equation method Fractional differential equation Modified Riemann-Liouville derivative Exact solution |
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