New Uniqueness Results for Fractional Differential Equations with a Caputo and Khalil Derivatives

Authors

Mahdi RAKAH, Laboratory LMPA, University of Mostaganem, Department of Mathematics, University of Alger 1, AlgeriaFollow
Zoubir DAHMANI, Laboratory LMPA, Faculty of SEI, UMAB, University of Mostaganem, AlgeriaFollow
Abdelkader SENOUCI, Department of Mathematics, University of Tiaret, Tiaret, AlgeriaFollow

Author Country (or Countries)

Algeria

Abstract

This paper in concerned with studying fractional differential problems involving two different derivatives. The first problem which involves the derivatives of Caputo is studied in its exisence and uniqueness of solutions. Then, an example is discussed to show the applicability of the result. In the second part, we use Khalil derivatives and the tanh numerical method to discuss traveling waves phenomena for a generalised partial differential equation. Some applications on beam equations are studied.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160611

Recommended Citation

RAKAH, Mahdi; DAHMANI, Zoubir; and SENOUCI, Abdelkader (2022) "New Uniqueness Results for Fractional Differential Equations with a Caputo and Khalil Derivatives," Applied Mathematics & Information Sciences: Vol. 16: Iss. 6, Article 11.
DOI: http://dx.doi.org/10.18576/amis/160611
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss6/11