A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay
K. Kavitha, V. Vijayakumar, R. Udhayakumar, N. Sakthivel, Kottakkaran Sooppy Nisar
Abstract
In this study, we establish the approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay. The main result of this article is proven by applying some ideas of semigroup theory with fractional order and Dhage's fixed point theorem. Firstly, we prove the approximate controllability of the Hilfer fractional system. Next, we extend our study to the system with nonlocal conditions. Finally, theoretical and practical applications are presented to assist in the effectiveness of our discussion.
Topics & Concepts
ControllabilityMathematicsSemigroupFixed-point theoremFractional calculusApplied mathematicsOrder (exchange)Fixed pointMathematical analysisFinanceEconomicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations