- Journal of Mathematical Sciences and Modelling
- Vol: 1 Issue: 1
- Existence of solutions for nonlocal boundary value problem for Caputo nonlinear fractional different...
Existence of solutions for nonlocal boundary value problem for Caputo nonlinear fractional differential inclusion
Authors : Bouteraa NOUREDDİNE, Slimane BENAİCHA
Pages : 45-55
Doi:10.33187/jmsm.414747
View : 10 | Download : 3
Publication Date : 2018-05-27
Article Type : Research
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