Erden, SametSarikaya, Mehmet ZekiOzdemir, Burcin GokkurtUyanik, Neslihan2025-10-112025-10-1120241029-242Xhttps://doi.org/10.1186/s13660-024-03194-2https://hdl.handle.net/20.500.12684/21736In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional Taylor's Formulas. Afterward, we provide a more general inequality involving Caputo fractional derivatives for L-r norm with r>1 via Holder's inequality. Also, similar inequalities for Riemann-Liouville fractional derivatives are presented by means of a relation between Caputo fractional derivatives and Riemann-Liouville fractional derivatives.en10.1186/s13660-024-03194-2info:eu-repo/semantics/openAccessWirtinger inequalityCaputo fractional derivativesTaylor's formulaArticle20241WOS:001306454300001Q1