APPROXIMATE ANALYTICAL SOLUTION FOR THE VARIABLE-ORDER FRACTIONAL INFECTIOUS DISEASES MODEL

Khadija Shahzadi, Syed Ali Mohsin Bukhari, Shno Othman Ahmed, Fuad A. Awwad, Emad A. A. Ismail, Umair Ali () and Hijaz Ahmad
Additional contact information
Khadija Shahzadi: Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan
Syed Ali Mohsin Bukhari: Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan†Space and Astrophysics Research Lab (SARL), National Centre of GIS and Space Applications (NCGSA), Institute of Space Technology, Islamabad 44000, Pakistan
Shno Othman Ahmed: ��Department of Computer Science and Information Technology, College of Science, Salahaddin University-Erbil, Erbil, Kurdistan Region, Iraq
Fuad A. Awwad: �Department of Quantitative Analysis, College of Business Administration, King Saud University, P. O. Box 71115, Riyadh 11587, Saudi Arabia
Emad A. A. Ismail: �Department of Quantitative Analysis, College of Business Administration, King Saud University, P. O. Box 71115, Riyadh 11587, Saudi Arabia
Umair Ali: Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan
Hijaz Ahmad: �Institute of Research and Development, DuyTan University, Da Nang, Vietnam∥School of Engineering and Technology, DuyTan University, Da Nang, Vietnam**Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu Seoul 02841, South Korea††Department of Technical Sciences, Western Caspian University, Baku 1001, Azerbaijan

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-13

Abstract: In this paper, a nonlinear variable-order infectious diseases model is discussed and the derivative operator is in the Caputo sense for the range 0 < 𠜃(t) < 1. First, we used the Laplace transformation to the variable-order fractional derivatives and effectively transformed it into an integer-order derivative. Subsequently, the homotopy perturbation method (HPM) is used to obtain the semi-analytical solution of the nonlinear infectious diseases model. Ultimately, we showcase the effects of our new approximate solutions by presenting various graphical illustrations across various values for the relevant biological parameters. Our computation results are compared with existing solutions, and a close agreement is obtained demonstrating our approach’s accuracy and validity.

Keywords: Variable-Order Infectious Disease Model; Laplace Transformation; Caputo Fractional Derivative; Homotopy Perturbation Method (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X2540170X
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x2540170x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X2540170X

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().