A Study on the Approximate Controllability of Hilfer Fractional Evolution Systems

Abstract

In this article, the existence and uniqueness of mild solutions are investigated for Hilfer fractional evolution systems. Particularly, the approximate controllability is also investigated under some essential conditions by applying the sequence method. An example, as an application, is provided to demonstrate the obtained results.

Keywords

• evolution systems
• existence
• operator semigroup
• approximate controllability