Farman, MuhammadAslam, MuhammadAkgul, AliAhmad, Aqeel2024-12-242024-12-2420210170-42141099-1476https://doi.org/10.1002/mma.7360https://hdl.handle.net/20.500.12604/5912Different countries of the world are facing a serious pandemic of corona virus disease (COVID-19). One of the most typical treatments for COVID-19 is social distancing, which includes lockdown; it will help to decrease the number of contacts for undiagnosed individuals. The main aim of this article is to construct and evaluate a fractional-order COVID-19 epidemic model with quarantine and social distancing. Laplace homotopy analysis method is used for a system of fractional differential equation (FDEs) with Caputo and Atangana-Baleanu-Caputo (ABC) fractional derivative. By applying the ABC and Caputo derivative, the numerical solution for fractional-order COVID-19 epidemic model is achieved. The uniqueness and existence of the solution is checked by Picard-Lindelof's method. The proposed fractional model is demonstrated by numerical simulation which is useful for the government to control the spread of disease in a practical way.eninfo:eu-repo/semantics/openAccessABC fractional-order derivativeCaputo fractional derivativeCOVID-19 modelquarantinesocial distancingArticle441193349350Q1WOS:000634494800001Q12-s2.0-851032745993423073410.1002/mma.7360