Fractional-order modeling of pneumonia transmission with vaccination, reinfection, and data fitting to England cases. - Celestine, Agbata Benedict; Dervishi, Raimonda; Awasthi, A. K.; Ganie, Abdul Hamid; Buçka, Henri; Emadifar, Homan; Smerat, Aseel; Shyamsunder (Discover Public Health, 2026)