Local fractional differential equations by the Exp-function method

Purpose – The fractional complex transform is used to convert the fractional differential equation to its differential partner and the exp-function method is to solve the resultant equation. The exact solutions for the equation are successfully established. The paper aims to discuss these issues. Design/methodology/approach – Use the chain rule of the local fractional derivative and the exp-function method. Findings – Some new exact solutions for the fractional differential equation are successfully established, and the process of the solution is extremely simple and remarkably accessible. Originality/value – The fractional complex transform is used to convert the fractional differential equation to its differential partner and the exp-function method is to solve the resultant equation.