Open AccessA study of a more general class of nonlocal integro-multipoint boundary-value problems of fractional integro-differential inclusions
Author(s) -
Bashir Ahmad,
Sotiris K. Ntouyas,
Ahmed Alsaedi
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i6.388
Subject(s) - mathematics , class (philosophy) , differential inclusion , regular polygon , boundary value problem , differential (mechanical device) , mathematical analysis , fixed point theorem , value (mathematics) , pure mathematics , computer science , physics , geometry , statistics , artificial intelligence , thermodynamics
UDC 517.9We develop the existence theory for a more general class of nonlocal integro-multipoint boundary value problems ofCaputo type fractional integro-differential inclusions. Our results include the convex and non-convex cases for the givenproblem and rely on standard fixed point theorems for multivalued maps. The obtained results are illustrated with the aidof examples. The paper concludes with some interesting observations.