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Well-posedness of equations with fractional derivative via the method of sum

✍ Scribed by Shang Quan Bu

Book ID: 106279942
Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2011
Tongue: English
Weight: 201 KB
Volume: 28
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-012-0333-7

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## Abstract We study the (__W__^α, __p__^, __L__^__p__^)‐mild well‐posedness of the equation with fractional derivative __D__^α^__u__(__t__) = __Au__(__t__) + __f__(__t__), 0 ≤ __t__ ≤ 2π, where __A__ is a closed operator in a Banach space __X__, α > 0, 1 ≤ __p__ < ∞ and __D__^α^ is the fractional

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