An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces
Yong‐Ki Ma, K. Kavitha, Wedad Albalawi, Anurag Shukla, Kottakkaran Sooppy Nisar, V. Vijayakumar
Abstract
This manuscript concerns the approximate controllability results in Hilbert space of Hilfer fractional differential inclusions. We show that the Hilfer fractional neutral differential inclusions are approximately controllable using Bohnenblust-Karlin’s fixed point theorem. Further, nonlocal conditions are extended to the existence results. Furthermore, an application is shown to demonstrate the theoretical conclusions utility.
Topics & Concepts
ControllabilityHilbert spaceMathematicsDifferential (mechanical device)Fixed-point theoremPure mathematicsMathematical analysisPoint (geometry)Fixed pointApplied mathematicsPhysicsThermodynamicsGeometryNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations