Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators

This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators. Almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem and multivalued maps are used to prove the result. We start by emphasizing the existence of a mild solution and demonstrate the approximate controllability of the fractional system. In addition, an example is presented to demonstrate the principle.

Automated summary

This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions using almost sectorial operators. The authors utilize almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem, and multivalued maps to prove the result. They emphasize the existence of a mild solution and demonstrate the approximate controllability of the fractional system. Additionally, an example is presented to illustrate the principle.