A study on controllability for Hilfer fractional differential equations with impulsive delay conditions

Abstract

This article focuses on the controllability of a Hilfer fractional impulsive differential equation with indefinite delay. We analyze our major outcomes using fractional calculus, the measure of non-compactness and a fixed-point approach. Finally, an example is provided to show the theory.

Keywords

• boundary condition
• fractional calculus
• implusive condition
• integro-differential system
• controllability
• fixed-point theorem