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A Note on Periodic Functions and Their Derivatives

โœ Scribed by Bellman, R.


Book ID
120100417
Publisher
Oxford University Press
Year
1943
Tongue
English
Weight
81 KB
Volume
s1-18
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


A note on fractional-order derivatives o
โœ Mohammad Saleh Tavazoei ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB

In this paper, it is shown that the fractional-order derivatives of a periodic function with a specific period cannot be a periodic function with the same period. The fractional-order derivative considered here can be obtained based on each of the well-known definitions Grunwald-Letnikov definition,

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In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a scalar S-asymptotically ฯ‰-periodic function (that is, a continuous and bounded