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A modified exp-function method for fractional partial differential equations

Yi Tian, Jun Liu

2021Thermal Science44 citationsDOIOpen Access PDF

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.

Topics & Concepts

Exponential functionFractional calculusFunction (biology)Partial differential equationApplied mathematicsMittag-Leffler functionAlgebraic equationMathematicsRational functionDifferential equationMathematical analysisPhysicsNonlinear systemQuantum mechanicsEvolutionary biologyBiologyFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons