Alexandria Engineering Journal (Apr 2023)
On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system
Abstract
The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems. The important outcomes are obtained by applying concepts and ideas from fractional calculus, Dhage’s fixed point theorem, and multivalued maps. Finally, an example is given for deriving theoretical results.