Existence of solutions for nonlocal boundary value problem for Caputo nonlinear fractional differential inclusion

This paper deals with the existence of solutions for nonlinear fractional differential inclusions supplemented with three-point boundary conditions. First, we investigate it for $ L^{1}$-Caratheodory convex-compact valued multifunction. Then, we investigate it for nonconvex-compact valued multifunct...

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Bibliographic Details
Main Authors: Bouteraa Noureddine, Slimane Benaicha
Format: Article
Language:English
Published: Mahmut Akyigit 2018-05-01
Series:Journal of Mathematical Sciences and Modelling
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/482685
Description
Summary:This paper deals with the existence of solutions for nonlinear fractional differential inclusions supplemented with three-point boundary conditions. First, we investigate it for $ L^{1}$-Caratheodory convex-compact valued multifunction. Then, we investigate it for nonconvex-compact valued multifunction via some conditions. Two illustrative examples are presented at the end of the paper to illustrate the validity of our results.
ISSN:2636-8692