Work

Dynamics of a Waterborne Disease Model in Porous Media Using Caputo Fractional Variable Order Derivative

Year: 2026

Type: article

Abstract: In this study, we incorporate the Caputo Fractional Variable Order Derivative (CFVOD) to account for memory effects and nonlocal interactions, improving the mathematical description of the transmission of water-based diseases. Understanding fluid and contaminant movement requires a more complex description of the dynamic processes occurring with inporous media, which is made possible by the application of CFVOD. We prove Ulam–Hyers (UH) stability and investigate the existence and uniqueness of solutions for the model to guarantee robustness against small perturbations. The Euler approach is applied to numerical simulations in order to investigate the temporal spread of illnesses. The incorporation of CFVOD exhibits enhanced precision in capturing disease dynamics, underscoring its possible use in forecasting and controlling waterborne infections inporous settings.

Source: Fractals

DOI: 10.1142/s0218348x26400293

Authors: ISRAR AHMAD, ZAREEN A. KHAN, NAHID FATIMA, AFIFAH AL EID

Institutions: Princess Nourah bint Abdulrahman University, Prince Sultan University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Clean water and sanitation

Open Access status: hybrid

Funder: Princess Nourah Bint Abdulrahman University