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Solvability for a Fractional Order Three‐Point Boundary Value System at Resonance

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  • Zigen Ouyang
  • Hongliang Liu

Abstract

A class of fractional order three‐point boundary value system with resonance is investigated in this paper. Using some techniques of inequalities, a completely new method is incorporated. We transform the problem into an integral equation with a pair of undetermined parameters. The topological degree theory is applied to determine the particular value of the parameters so that the system has a solution.

Suggested Citation

  • Zigen Ouyang & Hongliang Liu, 2014. "Solvability for a Fractional Order Three‐Point Boundary Value System at Resonance," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:419514
    DOI: 10.1155/2014/419514
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    References listed on IDEAS

    as
    1. Chuangxia Huang & Changlin Peng & Xiaohong Chen & Fenghua Wen, 2013. "Dynamics Analysis of a Class of Delayed Economic Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Chuanzhi Bai, 2012. "Existence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Chuangxia Huang & Changlin Peng & Xiaohong Chen & Fenghua Wen, 2013. "Dynamics Analysis of a Class of Delayed Economic Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, April.
    4. Chuangxia Huang & Xu Gong & Xiaohong Chen & Fenghua Wen, 2013. "Measuring and Forecasting Volatility in Chinese Stock Market Using HAR‐CJ‐M Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Xiaoling Han & Ting Wang, 2011. "The Existence of Solutions for a Nonlinear Fractional Multi-Point Boundary Value Problem at Resonance," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-14, August.
    6. Chuanzhi Bai, 2012. "Existence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, September.
    7. Chuangxia Huang & Xu Gong & Xiaohong Chen & Fenghua Wen, 2013. "Measuring and Forecasting Volatility in Chinese Stock Market Using HAR-CJ-M Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, March.
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