2020Journal of Mathematical and Computational ScienceOpen access

Integrating factors for non-exact conformable differential equation

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Conformable matrix, Mathematics, Differential equation, Exact differential equation, Path (computing), Differential (mechanical device), First-order partial differential equation, Applied mathematics

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