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2011 Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces
Jia Mu
J. Appl. Math. 2011: 1-13 (2011). DOI: 10.1155/2011/767186

Abstract

We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions. An example to illustrate the applications of the main results is given.

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Jia Mu. "Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces." J. Appl. Math. 2011 1 - 13, 2011. https://doi.org/10.1155/2011/767186

Information

Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1226.35084
MathSciNet: MR2830756
Digital Object Identifier: 10.1155/2011/767186

Rights: Copyright © 2011 Hindawi

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