## Abstract and Applied Analysis

### Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order $\mathbf{\alpha }\mathbf{\in }(\text{2},\text{3}]$ with Nonlocal Boundary Conditions

#### Abstract

We investigate the existence and uniqueness of solutions to the nonlocal boundary value problem for nonlinear impulsive fractional differential equations of order $\alpha \in (2,3]$. By using some well-known fixed point theorems, sufficient conditions for the existence of solutions are established. Some examples are presented to illustrate the main results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 717235, 26 pages.

Dates
First available in Project Euclid: 4 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365099923

Digital Object Identifier
doi:10.1155/2012/717235

Mathematical Reviews number (MathSciNet)
MR2959749

#### Citation

Zhang, Lihong; Wang, Guotao; Song, Guangxing. Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order $\mathbf{\alpha }\mathbf{\in }(\text{2},\text{3}]$ with Nonlocal Boundary Conditions. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 717235, 26 pages. doi:10.1155/2012/717235. https://projecteuclid.org/euclid.aaa/1365099923

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