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Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order

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  • J. Caballero
  • J. Harjani
  • K. Sadarangani

Abstract

We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: , , , , where denotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.

Suggested Citation

  • J. Caballero & J. Harjani & K. Sadarangani, 2011. "Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-12, July.
    • Handle: RePEc:hin:jnlaaa:165641
    DOI: 10.1155/2011/165641
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