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Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator

Author

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  • Shang-lin Yao
  • Guo-hui Wang
  • Zhi-ping Li
  • Li-jun Yu

Abstract

We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . By applying monotone iterative technique, some sufficient conditions for the existence of multiple positive solutions are established; moreover iterative schemes for approximating these solutions are also obtained, which start off a known simple linear function. In the end, an example is worked out to illustrate our main results.

Suggested Citation

  • Shang-lin Yao & Guo-hui Wang & Zhi-ping Li & Li-jun Yu, 2013. "Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-7, February.
    • Handle: RePEc:hin:jnddns:376938
    DOI: 10.1155/2013/376938
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