Comments on: “The failure of certain fractional calculus operators in two physical models” by M. Ortigueira, V. Martynyuk, M. Fedula and J.A.T. Machado-Reference-Cited by-同舟云学术

Comments on: “The failure of certain fractional calculus operators in two physical models” by M. Ortigueira, V. Martynyuk, M. Fedula and J.A.T. Machado

Published:2020-02-01 Issue:1 Volume:23 Page:292-297
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Baleanu Dumitru¹²

Affiliation:

1. Department of Mathematics , Cankaya University Balgat , 06530 , Ankara , Turkey

2. Institute of Space Sciences , Maturely-Bucharest , Bucharest , Romania

Abstract

Abstract In these comments, I analyse the results reported by Ortigueira et al. [18] regarding the potential applications of non-singular fractional operators suggested by Caputo-Fabrizio and Atangana-Baleanu. My purpose is to show that the opinions of [18] are not consistent.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0012/pdf

Reference22 articles.

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2. A. Atangana, D. Baleanu, New fractional derivatives with non-local and non-singular kernel: theory and application to heat transfer model. Thermal Sci. 20, No 2 (2016), 763–769; 10.2298/TSCI160111018A.

3. D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, Fractional Calculus: Models and Numerical Methods (Complexity, Nonlinearity and Chaos). Second Edition, World Scientific (2016).

4. D. Baleanu, A. Fernandez, On some new properties of fractional derivatives with Mittag-Leffler kernel. Comm. Nonlin. Sci. Num. Sim. 59 (2018), 444–462; 10.1016/j.cnsns.2017.12.003.

5. D. Baleanu, A. Fernandez, On fractional operators and their classifications. Mathematics7, No 9 (2019), # 830; 10.339/math7090830.

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