New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro‐differential systems
C. Dineshkumar, R. Udhayakumar
Abstract
Abstract This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro‐differential equation with infinite delay. We study our primary outcomes by utilizing the theoretical concepts related to the fractional calculus and Krasnoselskii's fixed point theorem. First, we prove the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Last, we provide a theoretical application to assist in the effectiveness of the discussion.
Topics & Concepts
ControllabilityMathematicsFractional calculusApplied mathematicsFixed-point theoremPoint (geometry)Differential (mechanical device)Calculus (dental)Mathematical analysisGeometryEngineeringMedicineAerospace engineeringDentistryNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations