Results on controllability of impulsive delayed neutral-type fractional stochastic integro-differential system
O. P. Sharma, Ramesh Kumar Vats, Ankit Kumar
Abstract
In this paper, we aim to establish a set of sufficient conditions for the existence and controllability of an integral form mild solution of a fractional neutral-type integro-differential stochastic system with finite delay and non-instantaneous impulses in a separable Hilbert space. The results are derived using fractional calculus, the principle of stochastic analysis, semigroup theory, measure of noncompactness and Monch's condition. Sufficient conditions are established under the non-Lipschitz conditions instead of the strong Lipschitz-type conditions. Finally, an example is given to support the validation of the obtained abstract results.
Topics & Concepts
ControllabilityType (biology)MathematicsApplied mathematicsDifferential (mechanical device)Control theory (sociology)Mathematical analysisPhysicsComputer scienceThermodynamicsControl (management)BiologyEcologyArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical and Theoretical Epidemiology and Ecology Models