Existence and controllability results for nonlocal stochastic integro-differential equations
Amadou Diop, Mamadou Abdoul Diop, Khalil Ezzinbi, Aziz Mané
Abstract
In this work, we deal with the existence, uniqueness and controllability outcomes for stochastic partial integro-differential equations with nonlocal conditions. Our analysis uses Kuratowski's measure of noncompactness, generalized Darbo's fixed point Theorem, Mönch fixed point Theorem and Grimmer's resolvent operator theory. Some appropriate conditions for existence, uniqueness and controllability are obtained. Some examples are provided for illustration.
Topics & Concepts
ControllabilityMathematicsFixed-point theoremUniquenessResolventApplied mathematicsMathematical analysisMeasure (data warehouse)Work (physics)Operator (biology)DatabaseGeneTranscription factorRepressorComputer scienceBiochemistryMechanical engineeringEngineeringChemistryNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsFractional Differential Equations Solutions