Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive
Mohamed Adel, M. Elsaid Ramadan, Hijaz Ahmad, Thongchai Botmart
Abstract
<abstract><p>The existence of a mild solution for nonlinear Hilfer fractional stochastic differential equations of the Sobolev type with non-instantaneous impulse in Hilbert space is investigated in this study. For nonlinear Hilfer fractional stochastic differential equations of Sobolev type with non-instantaneous impulsive conditions, sufficient criteria for controllability are established. Finally, an illustration of the acquired results is shown.</p></abstract>
Topics & Concepts
Sobolev spaceMathematicsNonlinear systemType (biology)Mathematical analysisStochastic partial differential equationControllabilityImpulse (physics)Fractional calculusDifferential equationApplied mathematicsPhysicsBiologyEcologyQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems