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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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:594802
    DOI: 10.1155/2012/594802
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    References listed on IDEAS

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    1. Metzler, Ralf & Klafter, Joseph, 2000. "Boundary value problems for fractional diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 107-125.
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    Cited by:

    1. M. De la Sen, 2013. "Some Results on Fixed and Best Proximity Points of Precyclic Self‐Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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