Boundary value problems of singular multi-term fractional differential equations with impulse effects

摘要

We study a class of boundary value problems for nonlinear impulsive fractional differential equations. A weighted function Banach space and a completely continuous nonlinear operator are constructed firstly. Some existence results for solutions of these problems are established continuously. Our analysis relies on the well known Schauder's fixed point theorem. Examples are given to illustrate the main results finally. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim