Journal
OPTICAL AND QUANTUM ELECTRONICS
Volume 49, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/s11082-017-1116-2
Keywords
Time-fractional parabolic equation; Exponential nonlinearity; Conformable fractional derivative; Exp(-phi(epsilon))-expansion method; Modified Kudryashov method; Exact solutions
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A nonlinear conformable time-fractional parabolic equation with exponential nonlinearity is explored, in this article. First, under the specific transformations, the time-fractional parabolic equation is changed into a nonlinear ODE of integer order, and then, the reduced equation is solved using two lately established techniques called the expd(-phi(epsilon))-expansion and modified Kudryashov methods. Several exact solutions in various wave forms for the nonlinear conformable time-fractional parabolic equation with exponential nonlinearity are formally constructed.
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