Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse
Vandana Yadav, Ramesh Kumar Vats, Ankit Kumar, Kamal Jeet
Abstract
This manuscript aims to establish a new set of sufficient conditions for the existence and approximate controllability of a neutral‐type fractional integro‐differential system employed with noninstantaneous impulse and finite delay in Hilbert space. In order to bring off the main results, the author used fractional calculus, semigroup theory, and Schauder's fixed‐point theorem. At the end, we provide an example to illustrate the main results.
Topics & Concepts
MathematicsControllabilityImpulse (physics)SemigroupHilbert spaceType (biology)Fixed-point theoremMathematical analysisFractional calculusPure mathematicsApplied mathematicsQuantum mechanicsEcologyPhysicsBiologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations