On some properties of the conformable fractional derivative-Reference-Cited by-同舟云学术

On some properties of the conformable fractional derivative

Published:2020-10-02 Issue:2 Volume:6 Page:210-217
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Azennar Radouane¹,Mentagui Driss¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences , Ibn Tofaïl University , B.P. 133, Kenitra, 14000 , Morocco

Abstract

Abstract In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A. Yousef, M. Sababhehb [4].

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2020-0016

Reference12 articles.

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2. [2] P.L. Butzer, A.A. Kilbas, J.J. Trujillo, Compositions of Hadamard-type fractional integration operators and the semigroup property, Journal of Mathematical Analysis and Applications 269 (2002) 387400.

3. [3] P.L. Butzer, A.A. Kilbas, J.J. Trujillo, Fractional calculus in the Mellin setting and Hadamard-type fractional integrals, Journal of Mathematical Analysis and Applications 269 (2002) 127.

4. [4] R. Khalil, M. Al Horani, A. Yousef, M. Sababhehb, A new definition of fractional derivative.Journal of Computational and Applied Mathematics 264 (2014) 6570.

5. [5] A. A. Kilbas, Hadamard-type fractional calculus, Journal of Korean Mathematical Society 38 (6) (2001) 11911204.

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