Integrating factors for non-exact conformable differential equation

Abstract

Exact fractional differential equations are considered in this paper. The efforts were aimed to find, discuss and prove different cases of integrating factors that reduce a non-exact conformable fractional differential equation to exact conformable fractional differential one. Examples were explained to clarify some cases of integrating factors. What is worth saying is existence of some expressions in the differential equation may change the path of the solution, so the integrating factor can be found in different way. This was supported and illustrated by some examples in the paper.