Boundary value problems for Hadamard-Caputo implicit fractional differential inclusions with nonlocal conditions

Ahmed Zahed, Samira Hamani, and John R. Graef

Address:
Laboratoire des Mathematiques Appliqués et Pures, Université de Mostaganem, B.P. 227, 27000, Mostaganem, Algeria
Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

E-mail:
drmaths.most44zahed@yahoo.fr
hamani_samira@yahoo.fr
John-Graef@utc.edu

Abstract: In this paper, the authors establish sufficient conditions for the existence of solutions to implicit fractional differential inclusions with nonlocal conditions. Both of the cases of convex and nonconvex valued right hand sides are considered.

AMSclassification: primary 26A33; secondary 34A08, 34A60, 34B15.

Keywords: existence, Hadamard-Caputo derivative, implicit fractional inclusion, convex and nonconvex cases.

DOI: 10.5817/AM2021-5-285