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Positive Solutions for Nonlinear Caputo Type Fractional q -Difference Equations with Integral Boundary Conditions

Author

Listed:
  • Wengui Yang

    (Ministry of Public Education, Sanmenxia Polytechnic, Sanmenxia 472000, China)

  • Yaping Qin

    (Institute of Electrical and Electronic Engineering, Kaifeng University, Kaifeng 475004, China)

Abstract

In this paper, by applying some well-known fixed point theorems, we investigate the existence of positive solutions for a class of nonlinear Caputo type fractional q -difference equations with integral boundary conditions. Finally, some interesting examples are presented to illustrate the main results.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:4:p:63-:d:81917
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    References listed on IDEAS

    as
    1. Thabet Abdeljawad & Betül Benli & Dumitru Baleanu, 2012. "A Generalized q -Mittag-Leffler Function by q -Captuo Fractional Linear Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, May.
    2. 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.
    3. Yulin Zhao & Guobing Ye & Haibo Chen, 2013. "Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional -Derivatives Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, February.
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