Sign in
CAPUTO FRACTIONAL DIFFERENTIAL INCLUSIONS OF ARBITRARY ORDER WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS
Journal article   Open access  Peer reviewed

CAPUTO FRACTIONAL DIFFERENTIAL INCLUSIONS OF ARBITRARY ORDER WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS

Bashir Ahmad, Doa'a Garout, Sotiris K. Ntouyas and Ahmed Alsaedi
Mathematical notes (Miskolci Egyetem (Hungary)), Vol.20(2), pp.683-699
01/01/2019

Abstract

Mathematics Physical Sciences Science & Technology
We study a new class of boundary value problems of Caputo type fractional differential inclusions supplemented with nonlocal integro-multipoint boundary conditions. An existence result for the problem with convex valued (multivalued) map is obtained via nonlinear alternative of Leray-Schauder type, while the existence of solutions for the problem involving nonconvex valued map is established by means of Wegrzyk's fixed point theorem. Our results are well illustrated with examples.
url
https://doi.org/10.18514/MMN.2019.2241View
Published (Version of record) Open

Metrics

1 Record Views

Details