Results on the approximate controllability of Atangana-Baleanu fractional stochastic delay integrodifferential systems
M. Johnson, V. Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla, Thongchai Botmart, V. Ganesh
Abstract
The approximate controllability results of Atangana-Baleanu fractional stochastic integrodifferential systems with infinite delay are the topic of this paper. The essential discoveries are developed by employing techniques and theories from stochastic analysis, multivalued map theory, fractional calculus, and fixed point procedure. Before establishing the fractional stochastic control system’s approximate controllability, we illustrate the existence of mild solutions. Ultimately, an example is offered to clarify our main points.
Topics & Concepts
ControllabilityMathematicsFractional calculusApplied mathematicsFixed pointPoint (geometry)Fixed-point theoremLinear control systemsStochastic processControl theory (sociology)Control (management)Mathematical analysisComputer scienceLinear systemStatisticsArtificial intelligenceGeometryNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis