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2012 Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations
Jia Mu, Hongxia Fan
J. Appl. Math. 2012: 1-13 (2012). DOI: 10.1155/2012/691651

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.

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Jia Mu. Hongxia Fan. "Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations." J. Appl. Math. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/691651

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.34005
MathSciNet: MR2915726
Digital Object Identifier: 10.1155/2012/691651

Rights: Copyright © 2012 Hindawi

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