Abstract and Applied Analysis (Jan 2013)

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

  • Rui Li,
  • Haoqian Zhang,
  • Hao Tao

DOI
https://doi.org/10.1155/2013/615707
Journal volume & issue
Vol. 2013

Abstract

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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.