A modified exp-function method for fractional partial differential equations
Yi Tian, Jun Liu
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