Periodic Boundary Value Problems for Semilinear Fractional Differential Equations

Jia Mu and Yongxiang Li

Mathematical Problems in Engineering, 2012, vol. 2012, 1-16

Abstract:

We study the periodic boundary value problem for semilinear fractional differential equations in an ordered Banach space. The method of upper and lower solutions is then extended. The results on the existence of minimal and maximal mild solutions are obtained by using the characteristics of positive operators semigroup and the monotone iterative scheme. The results are illustrated by means of a fractional parabolic partial differential equations.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:746872

DOI: 10.1155/2012/746872

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