Exact solutions of conformable fractional differential equations

Abstract

This article is about to formulate exact solutions of the time fractional Dodd-Bullough-Mikhailov (DBM) equation, Sinh-Gordon equation and Liouville equation by utilizing simplest equation method (SEM) in conformable fractional derivative (CFD) sense. Using a proper transformation, the original equations are transformed to nonlinear ordinary differential equations (ODEs). The method is very simple in comparison with the classical techniques and very much effective for solving fractional order partial differential equations (FOPDEs).

Keywords

• Simplest equation method
• Conformable fractional derivative
• Dodd-Bullough-Mikhailov equation
• Sinh-Gordon equation
• Liouville equation