Adıvar, Murat2023-06-162023-06-1620130139-99181337-2211https://doi.org/10.2478/s12175-013-0127-0https://hdl.handle.net/20.500.14365/2399By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class of time scales whose members may not satisfy the condition there exists a P > 0 such that for all , which is being currently used. Therefore, the results of this paper open an avenue for the investigation of periodic solutions of q-difference equations and more.eninfo:eu-repo/semantics/openAccessperiodic time scaleperiodic functionshift operatortime scaleIntegro-Dynamic EquationsExistenceArticle10.2478/s12175-013-0127-02-s2.0-84883124724