Two fractional order Langevin equation with new chaotic dynamics-Reference-Cited by-同舟云学术

Two fractional order Langevin equation with new chaotic dynamics

Published:2023-01-19 Issue:3 Volume:72 Page:663-685
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

BELHAMITI Meriem Mansouria¹^ORCID,DAHMANİ Zoubir¹^ORCID,SARIKAYA Mehmet Zeki²^ORCID

Affiliation:

1. UMAB Mostaganem

2. DUZCE UNIVERSITY

Abstract

In the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio. The existence of solutions is proven using a fixed point theorem under a weak topology, and an illustrative example is then given. Furthermore, we present new fractional versions of the Adams-Bashforth three-step approach for the Atangana-Baleanu and Caputo derivatives. New nonlinear chaotic dynamics are performed by numerical simulations.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

Reference37 articles.

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