Abstract and Applied Analysis

Existence and Uniqueness of Solutions for the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

Allaberen Ashyralyev and Yagub A. Sharifov

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Abstract

In the present study, the nonlocal and integral boundary value problems for the system of nonlinear fractional differential equations involving the Caputo fractional derivative are investigated. Theorems on existence and uniqueness of a solution are established under some sufficient conditions on nonlinear terms. A simple example of application of the main result of this paper is presented.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 594802, 14 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365174048

Digital Object Identifier
doi:10.1155/2012/594802

Mathematical Reviews number (MathSciNet)
MR2947722

Zentralblatt MATH identifier
1246.34004

Citation

Ashyralyev, Allaberen; Sharifov, Yagub A. Existence and Uniqueness of Solutions for the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 594802, 14 pages. doi:10.1155/2012/594802. https://projecteuclid.org/euclid.aaa/1365174048


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