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

Xianyong Huang and Junfei Cao

Mathematical Problems in Engineering, 2013, vol. 2013, 1-17

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:916369

DOI: 10.1155/2013/916369

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