WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
The Riccati Sub-ODE Method for Fractional Differential-difference Equations
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Abstract: In this paper, we are concerned with seeking exact solutions for fractional differential-difference equa- tions by an extended Riccati sub-ODE method. The fractional derivative is defined in the sense of the modified Riemann-liouville derivative. By a combination of this method and a fractional complex transformation, the it- erative relations from indices n to n 1 are established. As for applications, we apply this method to solve the two-component fractional Volterra lattice equations and the fractional m-KdV lattice equation. Some new exact solutions for the two fractional differential-difference equations are obtained.
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Keywords: Fractional differential-difference equations, Exact solutions, Riccati sub-ODE method, Fractional complex transformations, Traveling wave solutions, Nonlinear evolution equations
Pages: 192-200
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #20