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

Meriem Mansouria Belhamiti; Zoubir Dahmani; Praveen Agarwal

doi:10.18576/pfda/090306

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

Meriem Mansouria Belhamiti
, Zoubir Dahmani
, Praveen Agarwal

University of Mostaganem
International College of Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	409-419
Number of pages	11
Journal	Progress in Fractional Differentiation and Applications
Volume	9
Issue number	3
DOIs	https://doi.org/10.18576/pfda/090306
State	Published - 2023
Externally published	Yes

Keywords

Jerk fractional model
Ulam stability
fixed point
integral boundary conditions
uniqueness

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10.18576/pfda/090306

Cite this

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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.",

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AB - 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.

KW - Jerk fractional model

KW - Ulam stability

KW - fixed point

KW - integral boundary conditions

KW - uniqueness

UR - https://www.scopus.com/pages/publications/85165135188

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ER -

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

Abstract

Keywords

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