EPIDEMIOLOGICAL ANALYSIS OF HUMAN LIVER MODEL WITH FRACTIONAL OPERATOR-Reference-Cited by-同舟云学术

EPIDEMIOLOGICAL ANALYSIS OF HUMAN LIVER MODEL WITH FRACTIONAL OPERATOR

Published:2023-01 Issue:04 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

AZEEM MUHAMMAD¹,FARMAN MUHAMMAD²³⁴,ABUKHALED MARWAN⁵,NISAR KOTTAKKARAN SOOPPY⁶⁷,AKGÜL ALI⁴⁸⁹

Affiliation:

1. Department of Mathematics and Statistcs, The University of Lahore, Pakistan

2. Institute of Mathematics, Khawaja Fareed, University of Engineering and Information Technology, Rahim Yar Khan, Pakistan

3. Faculty of Arts and Sciences, Department of Mathematics, Near East University, Turkey

4. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

5. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE

6. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

7. School of Technology, Woxsen University, Hyderabad 502345, Telangana, India

8. Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey

9. Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey

Abstract

This paper will introduce novel techniques for a fractional-order model of the human liver involving the Atangana–Baleanu, Atangana–Toufik, and the Fractal fractional method with the nonsingular kernel. These techniques give more accurate and appropriate results. Existence and uniqueness have been developed with the help of fixed-point theory results. Numerical simulations are done from the developed algorithm of the model to elaborate the effect of fractional values and justify the theoretical results. Such kind of analysis will be useful for further investigation of epidemic diseases, and also provide a better understanding of disease dynamics to overcome the effect of disease in a community.

Funder

Prince Sattam bin Abdulaziz University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23400479

Reference36 articles.

1. THE STRUCTURE OF THE LIVER OF VERTEBRATES

2. Liver Anatomy

3. R. S. Cotran, V. Kumar, N. Fausto, S. L. Robbins and A. K. Abbas , Robbins and Cotran Pathologic Basis of Disease, 7th edn. (Elsevier Saunders, St. Louis, MO, 2005), p. 878.

4. G. J. Tortora and B. H. Derrickson , Principles of Anatomy and Physiology, 12th edn. (John Wiley & Sons, 2008), p. 945.

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