Generalized Taylor's formula
type: Item
instance of: scholarly article
title: Generalized Taylor's formula
zbMATH Open document ID: 1122.26006
author: Zaid M. Odibat
author: Nabil T. Shawagfeh
published in: Applied Mathematics and Computation
publication date: 2007-04-26T00:00:00Z
review text: The ordinary Taylor's formula has been generalized by several authors [\textit{G. Hardy}, J. Lond. Math. Soc. 20, 48--57 (1945; Zbl 0063.01925); \textit{J. J. Trujillo, M. Rivero} and \textit{B. Bonilla}, J. Math. Anal. 231, No. 1, 255--265 (1999; Zbl 0931.26004); \textit{Y. Watanabe}, Tôhoku Math. J. 34, 28--41 (1931; JFM 57.0477.02)]. In this paper the authors obtain a generalized Taylor's formula, using Caputo fractional derivative. Some applications involving approximation of functions and solutions of fractional differential equations are given.
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 5147005
zbMATH Keywords: fractional integral
zbMATH Keywords: Caputo fractional derivative
reviewed by: S. L. Kalla
MaRDI profile type: Publication
full work available at URL: j.amc.2006.07.102
OpenAlex ID: W2057414857
Wikidata QID: Q56765780
cites work: Fractals and fractional calculus in continuum mechanics
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cites work: Completely monotone generalized Mittag-Leffler functions
cites work: The exact solution of certain differential equations of fractional order by using operational calculus
cites work: Q4478627
DBLP publication ID: journals/amc/OdibatS07
DOI: 10.1016/J.AMC.2006.07.102
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description: scientific article; zbMATH DE number 5147005