ON THE EXISTENCE OF SOLUTIONS FOR A CLASS OF HILFER-HADAMARD FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS


Aurelian Cernea

Abstract: A nonlocal integro-multi-point boundary value problem associated to a Hilfer-Hadamard fractional integro-differential inclusion is studied. The existence of solutions is established in the case where the set-valued maps have non-convex values.

Keywords: differential inclusion, fractional derivative, boundary value problem.

MSC: 34A60, 34A12, 34A08.

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DOI   10.56082/annalsarscimath.2025.3.29

† acernea@fmi.unibuc.ro, Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest and Academy of Romanian Scientists, Ilfov 3, 050044 Bucharest, Romania


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 17 no 3, 2025