Arik, Irem AkbulutSari, Hatice KuebraAraz, Seda Igret2024-12-242024-12-2420232211-3797https://doi.org/10.1016/j.rinp.2023.106725https://hdl.handle.net/20.500.12604/6748We consider an epidemiological model that takes into account pathogens in the environment and social distancing. Such model with six classes has been updated with fractional differential operators and piecewise differential operators. Equilibrium points and reproductive number for the model have been obtained using next generation approach. Necessary optimality conditions for the model modified by addition of some control variables have been presented. For the numerical solution of the model, a numerical method based on Newton polynomial has been considered. The graphical representations for the model with fractional and piecewise derivatives have been presented to better understand the dynamic of model incorporating environment and social distancing.eninfo:eu-repo/semantics/openAccessCovid-19Fractional differentiation and integrationOptimal controlNumerical schemeArticle51Q1WOS:001046868500001Q12-s2.0-8516532879910.1016/j.rinp.2023.106725