An investigation into the controllability of multivalued stochastic fractional differential inclusions
Pallavi Bedi, Anoop Kumar, Gaurav Deora, Aziz Khan, Thabet Abdeljawad
Abstract
This research aims to investigate the approximate controllability of multivalued impulsive stochastic fractional differential inclusions in Hilbert space with ABC fractional-order derivatives. First, we confirm the existence of mild solutions for the proposed control system using stochastic analysis, resolvent operator theory, and the fixed point technique. Secondly, we discuss a new set of sufficient conditions for the approximate controllability of the systems. The results are obtained under the assumption that the associated linear system is approximately controllable. Finally, an example is provided to illustrate the obtained results.
Topics & Concepts
ControllabilityDifferential inclusionMathematicsHilbert spaceResolventApplied mathematicsFixed pointSet (abstract data type)Operator (biology)Fractional calculusDifferential (mechanical device)Control theory (sociology)Mathematical analysisControl (management)Computer scienceTranscription factorProgramming languageEngineeringBiochemistryChemistryRepressorArtificial intelligenceAerospace engineeringGeneNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods