Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces

Amouria Hammou, Samira Hamani, and Johnny Henderson

Address:
1 Laboratoire des Mathématiques Appliqués et Pures, Université de Mostaganem, B.P. 227, 27000, Mostaganem, Algeria
2 Department of Mathematics, Baylor University, Waco, Texas, 76798-7328, USA

E-mail:
hammou_amouria@yahoo.fr
hamani_samira@yahoo.fr
johnny_henderson@baylor.edu

Abstract: In this article, we study the existence of solutions in a Banach space of boundary value problems for Caputo-Hadamard fractional differential inclusions of order $r \in (0,1]$.

AMSclassification: primary 26A33; secondary 34A37.

Keywords: fractional differential inclusion, Caputo-Hadamard fractional derivative, Mönch’s fixed point theorem, Kuratowski measure of noncompactness.

DOI: 10.5817/AM2022-4-227