Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability☆
Yong‐Ki Ma, C. Dineshkumar, V. Vijayakumar, R. Udhayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar
Abstract
This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system. Firstly, by using fixed point theorems, fractional calculus, Hilfer fractional derivatives, multivalued maps and stochastic analysis, for stochastic fractional evolution systems, we demonstrate mild solutions. Whereupon we introduce necessary conditions that ensure the approximate controllability of stochastic fractional systems. As a final step, we define our primary outcomes using an example.
Topics & Concepts
ControllabilityMathematicsFractional calculusType (biology)Sobolev spaceApplied mathematicsInequalityMathematical analysisEcologyBiologyNonlinear Differential Equations AnalysisContact Mechanics and Variational InequalitiesFractional Differential Equations Solutions