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A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW

Faculty of Exact Sciences and Informatics, UMAB Abdelhamid Ibn Badis P. O. Box 227, University of Mostaganem, 27000 Mostaganem, Algeria

E-mail Address: slimaneibrahim@outlook.fr

Corresponding author.

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JUAN J. NIETO

Department of Statistics, Mathematical Analysis and Optimization, Galician Centre for Mathematical Research and Technology, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

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, and

SHABIR AHMAD

Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan

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https://doi.org/10.1142/S0218348X23400339Cited by:3 (Source: Crossref)

This article is part of the issue:

Special Issue on Applications of Wavelets and Fractals in Engineering Sciences
Guest Editors: K. S. Nisar, F. A. Shah, S. K. Upadhyay and P. E. T. Jorgensen

Abstract

In this paper, the model for bovine babesiosis epidemic transmission is analyzed using a fractional operator with a Mittag-Leffler kernel. The existence and uniqueness of the solution of the considered model is studied using real analysis. The Hyers–Ulam (HU) stability is investigated with the help of nonlinear functional analysis. The numerical results of the proposed model are deduced through the Adams–Bashforth technique, which is based on the two-step Lagrangian interpolation method. All results are simulated for a few fractional orders to observe the dynamics of the proposed model.

Keywords:

References

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Vol. 31, No. 02

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History

Received 26 March 2022

Accepted 28 August 2022

Published: March 8, 2023

Information

This is an Open Access article in the “Special Issue on Applications of Wavelets and Fractals in Engineering Sciences”, edited by K. S. Nisar (Prince Sattam bin Abdulaziz University, Saudi Arabia), F. A. Shah (University of Kashmir, India), S. K. Upadhyay (Indian Institute of Technology, BHU, India), P. E. T. Jorgensen (University of Iowa, USA) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW

Abstract

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