## Abstract and Applied Analysis

### A Class of Fractional $p$-Laplacian Integrodifferential Equations in Banach Spaces

#### Abstract

We study a class of nonlinear fractional integrodifferential equations with $p$-Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional $p$-Laplacian equations. An illustrative example is also discussed.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 398632, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511970

Digital Object Identifier
doi:10.1155/2013/398632

Mathematical Reviews number (MathSciNet)
MR3081585

Zentralblatt MATH identifier
1291.34125

#### Citation

Liu, Yiliang; Lu, Liang. A Class of Fractional $p$ -Laplacian Integrodifferential Equations in Banach Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 398632, 9 pages. doi:10.1155/2013/398632. https://projecteuclid.org/euclid.aaa/1393511970

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