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

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  • Allaberen Ashyralyev
  • Yagub A. Sharifov

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.

Suggested Citation

  • Allaberen Ashyralyev & Yagub A. Sharifov, 2012. "Existence and Uniqueness of Solutions for the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jnlaaa:594802
    DOI: 10.1155/2012/594802
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