Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay

Abstract

This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example to confirm of the results is provided.

Keywords

• non-instantaneous impulses
• fractional integro-differential equations
• fixed point
• caputo fractional derivative
• state-dependent delay