In this paper, we establish exact solutions for some nonlinear fractional differential equations (FDEs). The first integral method with help of the fractional complex transform (FCT) is used to obtain exact solutions for the time fractional modified Korteweg–de Vries (fmKdV) equation and the space–time fractional modified Benjamin–Bona–Mahony (fmBBM) equation. This method is efficient and powerful in solving kind of other nonlinear FDEs.
The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received February 7, 2014; final manuscript received July 21, 2014; published online January 14, 2015. Assoc. Editor: J. A. Tenreiro Machado.
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Bekir, A., Güner, Ö., and Ünsal, Ö. (March 1, 2015). "The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations." ASME. J. Comput. Nonlinear Dynam. March 2015; 10(2): 021020. https://doi.org/10.1115/1.4028065
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