An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space

Abstract

The main focus of this paper is on the boundary controllability of fractional order Sobolev-type neutral evolution equations in Banach space. We show our key results using facts from fractional calculus, semigroup theory, and the fixed point method. Finally, we give an example to illustrate the theory we have established.

Keywords

• fractional integrodifferential system
• boundary controllability
• fixed point theorem
• nonlocal conditions