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On Attractivity and Positivity of Solutions for Functional Integral Equations of Fractional Order

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  • Xianyong Huang
  • Junfei Cao

Abstract

We investigate a class of functional integral equations of fractional order given by , : sufficient conditions for the existence, global attractivity, and ultimate positivity of solutions of the equations are derived. The main tools include the techniques of measures of noncompactness and a recent measure theoretic fixed point theorem of Dhage. Our investigations are placed in the Banach space of continuous and bounded real-valued functions defined on unbounded intervals. Moreover, two examples are given to illustrate our results.

Suggested Citation

  • Xianyong Huang & Junfei Cao, 2013. "On Attractivity and Positivity of Solutions for Functional Integral Equations of Fractional Order," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-17, May.
    • Handle: RePEc:hin:jnlmpe:916369
    DOI: 10.1155/2013/916369
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