Hilfer fractional neutral stochastic partial differential equations with delay driven by Rosenblatt process
Hamdy M. Ahmed
Abstract
This manuscript is mainly focusing on the approximate controllability and the null controllability for fractional neutral stochastic partial differential equations with delay driven by Rosenblatt process. We discuss the sufficient conditions for approximate controllability and null controllability for Hilfer fractional neutral stochastic partial differential equations driven by Rosenblatt process. Finally, we provide two examples to verify the obtained results.
Topics & Concepts
ControllabilityMathematicsApplied mathematicsStochastic partial differential equationPartial differential equationStochastic differential equationNull (SQL)Process (computing)Stochastic processDifferential (mechanical device)Mathematical analysisComputer scienceStatisticsPhysicsDatabaseThermodynamicsOperating systemNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations