Premium
Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method
Author(s) -
Bekir Ahmet,
Aksoy Esin,
Cevikel Adem C.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3260
Subject(s) - mathematics , fractional calculus , partial differential equation , first order partial differential equation , nonlinear system , exact differential equation , mathematical analysis , differential equation , physics , quantum mechanics
In this article, the sub‐equation method is presented for finding the exact solutions of a nonlinear fractional partial differential equations. For this, the fractional complex transformation method has been used to convert fractional‐order partial differential equation to ordinary differential equation. The fractional derivatives are described in Jumarie's the modified Riemann–Liouville sense. We apply to this method for the nonlinear time fractional differential equations. With the aid of symbolic computation, a variety of exact solutions for them are obtained. Copyright © 2014 John Wiley & Sons, Ltd.