Controllability results of neutral Caputo fractional functional differential equations

Abstract

In this paper, using the properties of the phase space on infinite delay, generalized Gronwall inequality and fixed point theorems, the existence and controllability results of neutral fractional functional differential equations with multi-term Caputo fractional derivatives were obtained under Lipschitz and non-Lipschitz conditions.

Keywords

• neutral caputo fractional functional differential equations
• existence and controllability
• generalized gronwall inequality
• fixed point theorems
• lipschitz and non-lipschitz conditions