A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay

By K. Kavitha, V. Vijayakumar, R. Udhayakumar, Natarajan Sakthivel, Kottakkaran Sooppy Nisar. Mathematical methods in the applied sciences, 2020

67 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/6cdcc5e3d7d05719c27f236507b822062892bc82