Analysis of fractional stochastic evolution equations by using Hilfer derivative of finite approximate controllability
Abdelkader Moumen, Ramsha Shafqat, Ammar Alsinai, Hamid Boulares, Murat Cancan, Mdi Begum Jeelani
Abstract
<abstract><p>The approximate controllability of a class of fractional stochastic evolution equations (FSEEs) are discussed in this study utilizes the Hilbert space by using Hilfer derivative. For different approaches, we remove the Lipschitz or compactness conditions and merely have to assume a weak growth requirement. The fixed point theorem, the diagonal argument, and approximation methods serve as the foundation for the study. The abstract theory is demonstrated using an example. A conclusion is given at the end.</p></abstract>
Topics & Concepts
ControllabilityMathematicsHilbert spaceFixed-point theoremLipschitz continuityFractional calculusCompact spaceApplied mathematicsClass (philosophy)DiagonalFixed pointMathematical analysisComputer scienceArtificial intelligenceGeometryNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations