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Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model

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  • Rui Li
  • Haoqian Zhang
  • Hao Tao

Abstract

We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and denote the Riemann-Stieltjes integral. Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.

Suggested Citation

  • Rui Li & Haoqian Zhang & Hao Tao, 2013. "Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, August.
    • Handle: RePEc:hin:jnlaaa:615707
    DOI: 10.1155/2013/615707
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