Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods |
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Authors: | Alper Korkmaz Kamyar Hosseini |
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Affiliation: | 1.Department of Mathematics,Cankiri Karatekin University,Cankiri,Turkey;2.Department of Mathematics, Rasht Branch,Islamic Azad University,Rasht,Iran |
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Abstract: | 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 ({ exp }left( { - varphi left( varepsilon right)} right))-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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