Erratum: The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus-Reference-Cited by-同舟云学术

Erratum: The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus

Published:2017-12-01 Issue:6 Volume:20 Page:1567-1570
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Diethelm Kai¹²

Affiliation:

1. GNS mbH Gesellschaft für numerische Simulation mbH , Am Gaußberg 2 38114 Braunschweig , Germany

2. AG Numerik Institut Computational Mathematics Technische Universität Braunschweig Universitätsplatz 2, 38106 Braunschweig , Germany

Abstract

Abstract In some of the statements of the author’s paper “The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus” (Fract. Calc. Appl. Anal. 15, No 2 (2012), pp. 304–313), a factor α was missing. This note provides the correct formulations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0082/pdf

Reference3 articles.

1. J.B. Diaz, W.L. Walter, On uniqueness theorems for ordinary differential equations and for partial differential equations of hyperbolic type. Transact. Amer. Math. Soc. 96 (1960), 90–100.10.1090/S0002-9947-1960-0120451-1

2. K. Diethelm, The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Fract. Calc. Appl. Anal. 15, No 2 (2012), 304–313; 10.2478/s13540-012-0022-3; https://www.degruyter.com/view/j/fca.2012.15.issue-2/s13540-012-0022-3/s13540-012-0022-3.xml.

3. Z.M. Odibat, N.T. Shawagfeh, Generalized Taylor’s formula. Appl. Math. Comput. 186 (2007), 286–293.

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