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Uniqueness and Existence of Solution for a System of Fractional q‐Difference Equations

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  • Wen-Xue Zhou
  • Hai-zhong Liu

Abstract

We prove the existence and uniqueness of solution for a system of fractional differential equations. Our results are based on the nonlinear alternative of Leray‐Schauder type and Banach’s fixed‐point theorem.

Suggested Citation

  • Wen-Xue Zhou & Hai-zhong Liu, 2014. "Uniqueness and Existence of Solution for a System of Fractional q‐Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:340159
    DOI: 10.1155/2014/340159
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    References listed on IDEAS

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    1. Jinhua Wang & Hongjun Xiang & Zhigang Liu, 2010. "Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-12, July.
    2. Wen-Xue Zhou & Hai-Zhong Liu, 2012. "Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Wen-Xue Zhou & Hai-Zhong Liu, 2012. "Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, August.
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