Attractivity for Hilfer fractional stochastic evolution equations
Min Yang, Ahmed Alsaedi, Bashir Ahmad, Yong Zhou
Abstract
Abstract This article is devoted to the study of the attractivity of solutions to a class of stochastic evolution equations involving Hilfer fractional derivative. By employing the semigroup theory, fractional calculus and the fixed point technique, we establish new alternative criteria to ensure the existence of globally attractive solutions for the Cauchy problem when the associated semigroup is compact.
Topics & Concepts
MathematicsSemigroupFractional calculusPartial differential equationApplied mathematicsClass (philosophy)Ordinary differential equationFixed-point theoremMathematical analysisDifferential equationComputer scienceArtificial intelligenceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsNonlinear Partial Differential Equations