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Well-posedness of equations with fractional derivative

✍ Scribed by Shang Quan Bu

Book ID
118297760
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
226 KB
Volume
26
Category
Article
ISSN
1439-7617

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Mild well-posedness of equations with fr
Mild well-posedness of equations with fractional derivative
✍ Shangquan Bu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB

## 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