Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions

Abstract

In this paper, we discuss the existence and uniqueness of solutions for a class of multi-term time-fractional impulsive integro-differential equations with state dependent delay subject to some fractional order integral boundary conditions. In our consideration, we apply the Banach, and Sadovskii fixed point theorems to obtain our main results under some appropriate assumptions. An example is given at the end to illustrate the applications of the established results. KeywordsFractional order differential equations, multi-term time fractional derivative, fractional impulsive conditions, fractional order integral boundary conditions.