Erhan, İnciGeorgiev,S.G.Erhan,I.M.Mathematics2024-07-052024-07-05201941847-967710.7153/fdc-2019-09-162-s2.0-85151297649https://doi.org/10.7153/fdc-2019-09-16https://hdl.handle.net/20.500.14411/3919In 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.eninfo:eu-repo/semantics/openAccessCaputo fractional delta derivativedynamic equationseries solutionTime scaleArticle92243261