Open AccessExistence results for a nonlinear fractional differential inclusion
Author(s) -
Habib Djourdem
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2103927d
Subject(s) - mathematics , differential inclusion , nonlinear system , fixed point theorem , regular polygon , type (biology) , order (exchange) , mathematical analysis , schauder fixed point theorem , differential (mechanical device) , pure mathematics , picard–lindelöf theorem , geometry , ecology , physics , finance , quantum mechanics , engineering , economics , biology , aerospace engineering
In this paper, we establish some existence results for higher-order nonlinear fractional differential inclusions with multi-strip conditions, when the right-hand side is convex-compact as well as nonconvexcompact values. First, we use the nonlinear alternative of Leray-Schauder type for multivalued maps. We investigate the next result by using the well-known Covitz and Nadler?s fixed point theorem for multivalued contractions. The results are illustrated by two examples.