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Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations

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  • Jia Mu
  • Hongxia Fan

Abstract

The periodic boundary value problem is discussed for a class of fractional evolution equations. The existence and uniqueness results of mild solutions for the associated linear fractional evolution equations are established, and the spectral radius of resolvent operator is accurately estimated. With the aid of the estimation, the existence and uniqueness results of positive mild solutions are obtained by using the monotone iterative technique. As an application that illustrates the abstract results, an example is given.

Suggested Citation

  • Jia Mu & Hongxia Fan, 2012. "Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, April.
    • Handle: RePEc:hin:jnljam:691651
    DOI: 10.1155/2012/691651
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    Cited by:

    1. Jia Mu & Yong Zhou & Li Peng, 2017. "Periodic Solutions and -Asymptotically Periodic Solutions to Fractional Evolution Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-12, April.

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