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Stable approximation of fractional derivatives of rough functions

✍ Scribed by Dinh Nho Hào; H. -J. Reinhardt; A. Schneider

Book ID
105294736
Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
530 KB
Volume
35
Category
Article
ISSN
0006-3835

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📜 SIMILAR VOLUMES

Uniform approximation to fractional deri
Uniform approximation to fractional derivatives of functions of algebraic singularity
✍ Takemitsu Hasegawa; Hiroshi Sugiura 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 528 KB

Five-term recurrence relation a b s t r a c t Fractional derivative D q f (x) (0 < q < 1, 0 ≤ x ≤ 1) of a function f (x) is defined in terms of an indefinite integral involving f (x). For functions of algebraic singularity f (x) = x α g(x) (α > -1) with g(x) being a well-behaved function, we propose