Premium On the concept of exact solution for nonlinear differential equations of fractional‐orderPremium
mathematical methods in the applied sciences
In this article, the new exact travelling wave solutions of the nonlinear space‐time fractional Burger's, the nonlinear space‐time fractional Telegraph and the nonlinear space‐time fractional Fisher equations have been found. Based on a nonlinear fractional complex transformation, certain fractional partial differential equations can be turned into ordinary differential equations of integer order in the sense of the Jumarie's modified Riemann–Liouville derivative. TheG ′G‐expansion method is effective for constructing solutions to the nonlinear fractional equations, and it appears to be easier and more convenient by means of a symbolic computation system. Copyright © 2016 John Wiley & Sons, Ltd.
Subject(s)differential equation , economics , finance , fractional calculus , mathematical analysis , mathematics , nonlinear system , order (exchange) , physics , quantum mechanics
SCImago Journal Rank0.719
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