"Chaotic Jerk Circuit: Existence and Stability of Solutions for a Fract" by Meriem Mansouria Belhamiti, Zoubir Dahmani et al.

Progress in Fractional Differentiation & Applications

Article Title

Chaotic Jerk Circuit: Existence and Stability of Solutions for a Fractional Model

Authors

Meriem Mansouria Belhamiti, Laboratory LPAM, UMAB, University of Mostaganem, AlgeriaFollow
Zoubir Dahmani, Laboratory LPAM, UMAB, University of Mostaganem, AlgeriaFollow
Praveen Agarwal, Applied Nonlinear Science Lab, Anand International College of Engineering, Jaipur-303012, IndiaFollow

Author Country (or Countries)

Algeria

Abstract

We propose a new model of Jerk equation involving fractional derivatives. We begin by presenting an existence and uniqueness result for the problem. Then, by means of Schaefer fixed point theorem, another main result, that deals with the existence of at least one solution, is established. Beside this, Ulam type stabilities are discussed. At the end, two illustrative examples are also discussed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090306

Recommended Citation

Mansouria Belhamiti, Meriem; Dahmani, Zoubir; and Agarwal, Praveen (2023) "Chaotic Jerk Circuit: Existence and Stability of Solutions for a Fractional Model," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 3, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/090306
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/6

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