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Article Citation - Scopus: 5Adomian Polynomials Method for Dynamic Equations on Time Scales(DergiPark, 2021) Georgiev,S.G.; Erhan,I.M.A 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.Article Citation - Scopus: 5SERIES SOLUTION METHOD FOR CAUCHY PROBLEMS WITH FRACTIONAL Δ-DERIVATIVE ON TIME SCALES(Element D.O.O., 2019) Georgiev,S.G.; Erhan,I.M.In this paper we introduce a series solution method for Cauchy problems associated with Caputo fractional delta derivatives on time scales with delta differentiable graininess function. We also apply the method to Cauchy problems associated with dynamic equations and present some illustrative examples. © The Author(s) 2019.
