https://doi.org/10.1140/epjs/s11734-024-01326-9
Regular Article
Approximate controllability results of 
-Hilfer fractional neutral hemivariational inequalities with infinite delay via almost sectorial operators
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632 014, Vellore, Tamil Nadu, India
Received:
16
April
2024
Accepted:
29
August
2024
Published online:
19
September
2024
This manuscript explains the approximate controllability of -Hilfer fractional neutral hemivariational inequalities (-HFNHVI) with infinite delay via an almost sectorial operator. The facts related to semigroup theory, Hilfer fractional derivative (HFD), fractional calculus, the fixed point approach, and multi-valued maps are used to prove the results. Initially, we show the existence of a mild solution and exhibit that the -Hilfer fractional system is approximately controllable. Further, we have provided an example.
Mathematics Subject Classification: 47H10 / 34A08 / 49J40
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
