Neutral fractional stochastic partial differential equations with Clarke subdifferential
Hamdy M. Ahmed, Hassan M. El‐Owaidy, Mahmoud A. AL-Nahhas
Abstract
By using fractional calculus, stochastic analysis theory and fixed point theorems, sufficient conditions for approximate controllability of nonlocal Sobolev-type neutral fractional stochastic differential equations with fractional Brownian motion and Clarke subdifferential are established. Finally, an example is given to illustrate the obtained results.
Topics & Concepts
MathematicsSubderivativeSobolev spaceFractional Brownian motionControllabilityFractional calculusMathematical analysisStochastic partial differential equationFixed-point theoremStochastic differential equationBrownian motionPartial differential equationApplied mathematicsRegular polygonStatisticsConvex optimizationGeometryNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations