Georgiev,S.G.Erhan,I.M.Mathematics2024-07-052024-07-05202122587-264810.31197/atnaa.8793672-s2.0-85115114667https://doi.org/10.31197/atnaa.879367https://hdl.handle.net/20.500.14411/4027A recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales. The derivation of the method on time scales is presented and applied to particular examples of initial value problems associated with nonlinear dynamic equations of first order. © 2021, DergiPark. All rights reserved.eninfo:eu-repo/semantics/openAccessAdomian polynomialsDynamic equationLaplace transformTime scaleArticleQ253300315