The method of upper and lower solutions and impulsive fractional differential inclusions

Article ID	Journal	Published Year	Pages	File Type
1713913	Nonlinear Analysis: Hybrid Systems	2009	8 Pages	PDF

Abstract

In this paper the concept of lower and upper solutions combined with the fixed point theorem of Bohnnenblust–Karlin is used to investigate the existence of solutions for a class of the initial value problem for impulsive differential inclusions involving the Caputo fractional derivative.

Keywords

Fractional differential inclusions Fractional integral Impulses Lower and upper solution Caputo fractional derivative Initial value problem Fixed point