Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 6, Pages 4428-4447Publisher
WILEY
DOI: 10.1002/mma.7040
Keywords
approximate controllability; Hilfer fractional system; multivalued map; neutral system; nonlocal conditions
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This study establishes the approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay by applying ideas of semigroup theory with fractional order and Dhage's fixed point theorem. The main result proves the approximate controllability of the Hilfer fractional system and extends the study to systems with nonlocal conditions. Theoretical and practical applications are presented to support the effectiveness of the discussion.
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.
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