A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators

Abstract

The study deals with the findings of the outcome of the approximate controllability results of inclusion type fractional stochastic system in Banach space with the order of the fractional system varrho in (1,2). At first, we implement Bohnenblust-Karlin's fixed point technique to deduce the required conditions on which the fractional system with inital conditions is approximately controllable, and there by, we postulate the sufficient conditions for extending the obtained results to the system with nonlocal conditions.

Keywords

• Fractional derivatives and integrals
• Approximate controllability
• Sectorial operators
• Fixed point techniques
• Fractional stochastic system