Fractional sub-equation method and its applications to nonlinear fractional PDEs

Fractional sub-equation method and its applications to nonlinear fractional PDEs

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 exa...

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Veröffentlicht in:Physics letters. A 2011-02, Vol.375 (7), p.1069-1073
Hauptverfasser: Zhang, Sheng, Zhang, Hong-Qing
Format: Artikel
Sprache:eng
Schlagworte:
Biological
Differential equations
Exact solution
Fractional differential equation
Mathematical analysis
Mathematical models
Modified Riemann–Liouville derivative
Nonlinearity
Partial differential equations
Solid state physics
Sub-equation method
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Zusammenfassung: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.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.01.029