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A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay
Author(s) -
Kavitha K.,
Vijayakumar V.,
Udhayakumar R.,
Sakthivel N.,
Sooppy Nisar Kottakkaran
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7040
Subject(s) - controllability , mathematics , semigroup , fixed point theorem , fractional calculus , order (exchange) , fixed point , mathematical analysis , finance , economics
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.