A class of nonlocal impulsive differential equations with conformable fractional derivative

Abstract

In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results.

Keywords

• functional-differential equations with fractional derivativesfunctional-differential equations with fractional derivatives
• groups and semigroups of linear operators
• nonlocal conditions
• impulsive conditions
• conformable fractional derivatives