Usta, FuatSarıkaya, Mehmet Zeki2020-04-302020-04-3020190420-12132391-4661https://doi.org/10.1515/dema-2019-0017https://hdl.handle.net/20.500.12684/4775WOS: 000470036300001In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several practical properties. These inequalities generalize some famous integral inequalities which provide explicit bounds on unknown functions. The results provided here had been implemented to the global existence of solutions to the conformable fractional differential equations with time delay.en10.1515/dema-2019-0017info:eu-repo/semantics/openAccessglobal existenceretarded integral inequalitiesconformable fractional Van der Pol differential equationconformable fractional Lienard differential equationArticle521204212N/A