๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An approximation method for high-order fractional derivatives of algebraically singular functions

โœ Scribed by Takemitsu Hasegawa; Hiroshi Sugiura

Book ID
108078727
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
287 KB
Volume
62
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Uniform approximation to fractional deri
Uniform approximation to fractional derivatives of functions of algebraic singularity
โœ Takemitsu Hasegawa; Hiroshi Sugiura ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 528 KB

Five-term recurrence relation a b s t r a c t Fractional derivative D q f (x) (0 < q < 1, 0 โ‰ค x โ‰ค 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 ฮฑ g(x) (ฮฑ > -1) with g(x) being a well-behaved function, we propose

An approximate method for numerically so
An approximate method for numerically solving fractional order optimal control problems of general form
โœ Christophe Tricaud; YangQuan Chen ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 742 KB

In this article, we discuss fractional order optimal control problems (FOCPs) and their solutions by means of rational approximation. The methodology developed here allows us to solve a very large class of FOCPs (linear/nonlinear, time-invariant/time-variant, SISO/MIMO, state/input constrained, free