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Multiple Positive Solutions for a Fractional Boundary Value Problem with Fractional Integral Deviating Argument

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  • A. Guezane-Lakoud
  • R. Khaldi

Abstract

This work is devoted to the existence of positive solutions for a fractional boundary value problem with fractional integral deviating argument. The proofs of the main results are based on Guo-Krasnoselskii fixed point theorem and Avery and Peterson fixed point theorem. Two examples are given to illustrate the obtained results, ending the paper.

Suggested Citation

  • A. Guezane-Lakoud & R. Khaldi, 2012. "Multiple Positive Solutions for a Fractional Boundary Value Problem with Fractional Integral Deviating Argument," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, July.
    • Handle: RePEc:hin:jijmms:651508
    DOI: 10.1155/2012/651508
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    Cited by:

    1. Thanin Sitthiwirattham & Jessada Tariboon & Sotiris K. Ntouyas, 2013. "Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-9, September.

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