Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions
Sadam Hussain, Muhammad Sarwar, Kamaleldin Abodayeh, Chanon Promsakon, Thanin Sitthiwirattham
Abstract
In this paper, the controllability for Hilfer fractional neutral stochastic differential equations with infinite delay and nonlocal conditions has been investigated. Using concepts from fractional calculus, semigroup of operators, fixed-point theory, measures of noncompactness, and stochastic theory the main controllability conclusion is attained. The applications of the key findings are finally illustrated with two examples.
Topics & Concepts
ControllabilityStochastic differential equationMathematicsApplied mathematicsDifferential equationControl theory (sociology)Mathematical analysisPhysicsEconomicsControl (management)ManagementNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations