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 : 20 | Download : 8

Publication Date : 2018-05-27

Article Type : Research Paper

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