THERMAL SCIENCE

International Scientific Journal

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Yi Tian

,

Jun Liu

A MODIFIED EXP-FUNCTION METHOD FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

ABSTRACT
This paper proposes a novel exponential rational function method, a modification of the well-known exp-function method, to find exact solutions of the time fractional Cahn-Allen equation and the time fractional Phi-4 equation. The solution procedure is reduced to solve a system of algebraic equations, which is then solved by Wu’s method. The results show that the present method is effective, and can be applied to other fractional differential equations.
KEYWORDS
Wu’s method, exp-function method, exact solution, solitary solution
PAPER SUBMITTED: 2020-04-28
PAPER REVISED: 2020-06-18
PAPER ACCEPTED: 2020-06-18
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200428017T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1237 - 1241]
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A modified exp-function method for fractional partial differential equations

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