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Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional q‐Derivatives Equation

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  • Yulin Zhao
  • Guobing Ye
  • Haibo Chen

Abstract

By using the fixed point index theorem, this paper investigates a class of singular semipositone integral boundary value problem for fractional q‐derivatives equations and obtains sufficient conditions for the existence of at least two and at least three positive solutions. Further, an example is given to illustrate the applications of our main results.

Suggested Citation

  • Yulin Zhao & Guobing Ye & Haibo Chen, 2013. "Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional q‐Derivatives Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:643571
    DOI: 10.1155/2013/643571
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    References listed on IDEAS

    as
    1. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, May.
    3. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Yulin Zhao & Li Huang & Xuebin Wang & Xianyang Zhu, 2012. "Existence of Solutions for Fractional Integro‐Differential Equation with Multipoint Boundary Value Problem in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, July.
    6. Yulin Zhao & Li Huang & Xuebin Wang & Xianyang Zhu, 2012. "Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, December.
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