Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential
Hamdy M. Ahmed, Maria Alessandra Ragusa
Abstract
Abstract In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and nonsmooth analysis, sufficient conditions for nonlocal controllability for the considered problem are established. Finally, an example is given to illustrate the obtained results.
Topics & Concepts
Conformable matrixMathematicsSubderivativeSobolev spaceControllabilityType (biology)Fractional calculusMathematical analysisPure mathematicsApplied mathematicsRegular polygonGeometryConvex optimizationEcologyQuantum mechanicsBiologyPhysicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods in engineering