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Open access Sep 2026

A Hilfer Fractional Vaccination Epidemic Model: Stability Analysis and a Physics-Informed Neural Network Validated on COVID-19 Data

A Hilfer generalized fractional epidemic model with vaccination and asymptomatic transmission is proposed and analysed. The Hilfer operator interpolates between the Riemann-Liouville and Caputo derivatives through a type parameter. Therefore, the model captures hereditary memory and nonlocal temporal effects through bo...

Nida Najeeb, Khaleel Ahmad, Sahib Yar · 0 citations

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