Uniqueness criteria for initial value problem of conformable fractional differential equation

Abstract

This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theory, and advances its development in proving fractional differential equations. Finally, we verify the main conclusions of this paper by providing four concrete examples.

Keywords

• conformable fractional differential equations
• uniqueness of solution
• initial value problem