A NOTE ON THE EXISTENCE OF SOLUTIONS OF A FRACTIONAL DIFFERENTIAL INCLUSION OF HILFER-HADAMARD TYPE

Dedicated to the memory of Professor Mihail Megan

 

Aurelian Cernea†

Abstract: A fractional differential inclusion with multi-point boundary conditions involving Hilfer-Hadamard derivatives is considered. An existence result is established when the set-valued map is lower semi-continuous.

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

MSC: 34A60, 34A12, 34A08.

DOI  10.56082/annalsarscimath.2026.3.29

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*Accepted for publication on February 05, 2026
†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 Application,

Volume 18 no 3, 2026

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997