Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces

Jia Mu

Journal of Applied Mathematics, 2011, vol. 2011, 1-13

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:767186

DOI: 10.1155/2011/767186

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