Total fractional differentials with applications to exact fractional differential equations

ABSTRACT

In this paper we introduce and study exact fractional differential equations, where we use the conformable fractional derivative. This forces us to introduce the fractional differential function.

KEYWORDS:

• Conformable fractional derivative
• fractional integral
• fractional differential equation
• exact equation
• integrating factor

2010 AMS CLASSIFICATION NUMBERS:

• 26A33
• 34A08

Disclosure statement

No potential conflict of interest was reported by the authors.