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
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DOI: 10.1142/S0218348X2540170X
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