Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems

Abstract

The approximate controllability results of Atangana-Baleanu fractional stochastic integrodifferential systems with infinite delay are the topic of this paper. The essential discoveries are developed by employing techniques and theories from stochastic analysis, multivalued map theory, fractional calculus, and fixed point procedure. Before establishing the fractional stochastic control system’s approximate controllability, we illustrate the existence of mild solutions. Ultimately, an example is offered to clarify our main points.

Keywords

• 26A33
• 34K50
• 47H10
• 93B05