Baleanu, DumitruAydogn, Seher MelikeMohammadi, HakimehRezapour, Shahram2022-11-102022-11-102020Baleanu, Dumitru...et al. (2020). "On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3029-3039.1110-0168http://hdl.handle.net/20.500.12416/5840We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are presented as infinite series converging to the solution. We prove the existence, uniqueness, and stability of the solution by using the fixed point theory. Also, we provide some numerical results to illustrate the effectiveness of the new derivative. © 2020eninfo:eu-repo/semantics/closedAccessInfection Diseases ModelLaplace Adomian DecompositionNumerical SimulationThe Caputo-Fabrizio Fractional DerivativeArticle5953029303910.1016/j.aej.2020.05.007