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On almost automorphic mild solutions for fractional semilinear initial value problems

✍ Scribed by Anping Chen; Fulai Chen; Siqing Deng

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 473 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.07.001

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✦ Synopsis

This paper investigates almost automorphic mild solutions of the fractional semilinear

where A is a linear operator of sectorial type ω < 0. Some sufficient conditions are given for the existence, uniqueness and uniform stability of almost automorphic mild solutions to this semilinear equation.

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