Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

Abstract

Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem. Finally, a numerical examples are then provided to demonstrate the outcomes.

Keywords

• Fractional calculus
• ψ-Hilfer fractional differential equations
• Integro-differential equations
• Controllability