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.
| Original language | English |
|---|---|
| Pages (from-to) | 4428-4447 |
| Number of pages | 20 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 44 |
| Issue number | 6 |
| DOIs | |
| State | Published - Apr 2021 |
Keywords
- approximate controllability
- Hilfer fractional system
- multivalued map
- neutral system
- nonlocal conditions
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