Deniz, AshUfuktepe, Ünal2023-06-162023-06-1620091300-00981303-6149https://hdl.handle.net/20.500.14365/3314The theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory oil time scales was first constructed by Guseinov [4], then further studies were made by Guseinov-Bohner [1], Cabada-Vivero [2] and Rzezuchowski [6]. In this article, we adapt the concept of Lebesgue-Stieltjes measure to time scales. We define Lebesgue-Stieltjes Delta and del-measures and by using these measures, we define ail integral adapted to time scales, specifically Lebesgue-Stieltjes Delta-integral. We also establish the relation between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes Delta-measure, consequently between Lebesgue-Stieltjes integral and Lebesgue-Stieltjes Delta-integral.eninfo:eu-repo/semantics/closedAccessTime scalesLebesgue-Stieltjes Delta-measureLebesgue-Stieltjes Delta-integralArticle10.3906/mat-0711-112-s2.0-62349118026