Open AccessBoundary value problems for impulsive fractional differential equations in Banach spaces
Author(s) -
Shuai Yang,
Shuqin Zhang
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1718603y
Subject(s) - mathematics , fixed point theorem , banach space , picard–lindelöf theorem , uniqueness , boundary value problem , mathematical analysis , c0 semigroup , banach fixed point theorem , eberlein–šmulian theorem , differential equation , pure mathematics , lp space
This paper is devoted to studying the existence and uniqueness of solutions to the boundary value problems for a impulsive fractional differential equation in Banach spaces. The arguments are based upon the methods of noncompact measure, Banach fixed point theorem and Krasnoselskii?s fixed point theorem. Some examples are given to demonstrate the application of our main results.