<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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].</p></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].

On some properties of the conformable fractional derivative

Department of Mathematics, Faculty of Sciences

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On some properties of the conformable fractional derivative"}

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...

On some properties of the conformable fractional derivative

Published Online: Oct 02, 2020

Page range: 210 - 217

Received: May 20, 2020

Accepted: Jul 29, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0016

Keywords
Darboux’s theorem, the intermediate value theorem, conformable fractional derivative

© 2020 Radouane Azennar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On some properties of the conformable fractional derivative

Published Online: Oct 02, 2020

Page range: 210 - 217

Received: May 20, 2020

Accepted: Jul 29, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0016

KeywordsDarboux’s theorem, the intermediate value theorem, conformable fractional derivative

© 2020 Radouane Azennar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Darboux’s theorem, the intermediate value theorem, conformable fractional derivative