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Bekir, Ahmet; Güner, Özkan; Cevikel, Adem C.

Fractional complex transform and exp-function methods for fractional differential equations. (English) Zbl 1298.34008

Abstr. Appl. Anal. 2013, Article ID 426462, 8 p. (2013).
Summary: The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie’s modified Riemann-Liouville sense. We apply the exp-function method to both the nonlinear time and space fractional differential equations. As a result, some new exact solutions for them are successfully established.

Cited in 53 Documents

MSC:

34A08 Fractional ordinary differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations

Keywords:

exact solutions; Jumarie’s modified Riemann-Liouville sense
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