Yao, Shao-WenAhniad, AquiInc, MustafaFarman, MuhammadGhaffar, AbdulAkgul, Ali2024-12-242024-12-2420220218-348X1793-6543https://doi.org/10.1142/S0218348X22401739https://hdl.handle.net/20.500.12604/7211In this paper, we construct a scheme of fractional-order mathematical model for the population infected by diarrhea disease by using the four compartments S, I, T and R. The fractal-fractional derivative operator (FFO) with generalized Mittag-Leffler kernel is employed to obtain the solution of the proposed system. The system is analyzed qualitatively as well as verify non-negative unique solution. The existence and uniqueness results of fractional-order model under Atangana-Baleanu fractal-fractional operator have been proved by fixed point theory. Also error analysis has been made for the proposed fractional-order model. Simulation has been carried out for derived fractional-order scheme to check the effectiveness of the results which will help, how to prevent and control such type of epidemic in society.eninfo:eu-repo/semantics/openAccessEpidemic ModelLipchitz FunctionUlam-Hyres StabilityUniquenessFractal Fractional OperatorArticle305Q1WOS:000846027200006Q12-s2.0-8513383167110.1142/S0218348X22401739