## Abstract and Applied Analysis

### Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition

Ge-Feng Yang

#### Abstract

We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence and uniqueness of a nontrivial solution of a system are obtained.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 719192, 11 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365168870

Digital Object Identifier
doi:10.1155/2012/719192

Mathematical Reviews number (MathSciNet)
MR2999935

Zentralblatt MATH identifier
1261.34013

#### Citation

Yang, Ge-Feng. Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 719192, 11 pages. doi:10.1155/2012/719192. https://projecteuclid.org/euclid.aaa/1365168870

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