An Efficient Laplace-Adomian Decomposition Approach for a Fractional-Order SIR Epidemic Model with Two Interacting Groups
DOI:
https://doi.org/10.15377/2409-5761.2026.13.6Keywords:
Caputo fractional derivative; Laplace Adomian decomposition method; SIR epidemic model; Nonlinear system.Abstract
This study examines a nonlinear SIR epidemic model to characterize the dissemination of infectious diseases through a modified version of the Caputo fractional derivative. The Laplace Adomian Decomposition Method (LADM) is used to find both analytical and approximate-analytical solutions for the proposed model. The answers are given as rapidly converging series.
We get approximate analytical solutions that show quick convergence and accurately describe how the system works. The method's reliability has been confirmed, and the proposed fractional-order model's validity has been confirmed.
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