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Uniqueness and Existence of Solution for a System of Fractional -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 -Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:340159
    DOI: 10.1155/2014/340159
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    Cited by:

    1. Wengui Yang & Yaping Qin, 2016. "Positive Solutions for Nonlinear Caputo Type Fractional q -Difference Equations with Integral Boundary Conditions," Mathematics, MDPI, vol. 4(4), pages 1-15, November.
    2. Chenkuan Li & Rekha Srivastava & Kyle Gardiner, 2021. "Analytical Investigation of the Existence of Solutions for a System of Nonlinear Hadamard-Type Integro-Differential Equations Based upon the Multivariate Mittag-Leffler Function," Mathematics, MDPI, vol. 9(21), pages 1-10, October.

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