New investigation on controllability of sobolev-type Volterra-Fredholm functional integro-differential equation with non-local condition

Abstract

In this article, we analyse the controllability criteria on sobolev-type Volterra-Fredholm functional Integro-differential Equations (SVFIDE) via Atangana–Baleanu Caputo (ABC) derivative. The primary outcomes was established by utlising the concepts on the measure of noncompactness, semigroup theory, the contraction principle and Darbo fixed point technique with nonlocal condition. An illustrative example to demonstrate the analytical result is provided at the end.

Keywords

• Controllability
• Integro-differential equation
• AB-derivative
• Sobolev-type