Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators
C. S. Varun Bose, R. Udhayakumar, Ahmed M. Elshenhab, M. Sathish Kumar, Jong‐Suk Ro
Abstract
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.
Topics & Concepts
ControllabilityMathematicsFixed-point theoremDifferential inclusionApplied mathematicsDifferential (mechanical device)Fractional calculusMathematical analysisPure mathematicsFixed pointPhysicsThermodynamicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis