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Existence of mild solutions for fractional delay evolution systems
Journal article   Peer reviewed

Existence of mild solutions for fractional delay evolution systems

JinRong Wang and Yong Zhou
Applied mathematics and computation, Vol.218(2), pp.357-367
15/09/2011
DOI: https://doi.org/10.1016/j.amc.2011.05.071

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we prove some sufficient conditions for the local and global existence of fractional nonlinear finite time delay evolution equations whose linear part is the infinitesimal generators of analytic semigroups. The results are obtained by applying the generalized singular versions of integral inequalities under some different conditions on nonlinear term. At last, two examples are given for demonstration. (C) 2011 Elsevier Inc. All rights reserved.

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