## International Journal of Differential Equations

### Existence of Solutions for Fractional Impulsive Integrodifferential Equations in Banach Spaces

#### Abstract

We investigate the existence of solutions for a class of impulsive fractional evolution equations with nonlocal conditions in Banach space by using some fixed point theorems combined with the technique of measure of noncompactness. Our results improve and generalize some known results corresponding to those obtained by others. Finally, two applications are given to illustrate that our results are valuable.

#### Article information

Source
Int. J. Differ. Equ., Volume 2016 (2016), Article ID 5648798, 11 pages.

Dates
Accepted: 1 November 2016
First available in Project Euclid: 20 January 2017

https://projecteuclid.org/euclid.ijde/1484881461

Digital Object Identifier
doi:10.1155/2016/5648798

Mathematical Reviews number (MathSciNet)
MR3584218

Zentralblatt MATH identifier
1355.34115

#### Citation

Gou, Haide; Li, Baolin. Existence of Solutions for Fractional Impulsive Integrodifferential Equations in Banach Spaces. Int. J. Differ. Equ. 2016 (2016), Article ID 5648798, 11 pages. doi:10.1155/2016/5648798. https://projecteuclid.org/euclid.ijde/1484881461

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