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Improved fractional sub-equation method and its applications to fractional partial differential equations. (English) Zbl 1363.35374

Summary: Based on an improved fractional sub-equation method involving Jumarie’s modified Riemann-Liouville derivative, we construct analytical solutions of space-time fractional compound KdV-Burgers equation and coupled Burgers’ equations. These results not only reveal that the method is very effective and simple in studying solutions to the fractional partial differential equation, but also include some new exact solutions.

MSC:

35R11 Fractional partial differential equations
35Q53 KdV equations (Korteweg-de Vries equations)
35A25 Other special methods applied to PDEs
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