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

Year 2018, Volume: 1 Issue: 1, 45 - 55, 27.05.2018

Bouteraa Noureddine , Slimane Benaicha

https://doi.org/10.33187/jmsm.414747

Cited By: 7

Abstract

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.

Keywords

Existence, Fractional differential inclusion, Fixed point theorem, Nonlocal boundary

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