Baleanu, DumitruEl-Deeb, Ahmed A.Baleanu, DumitruAwrejcewicz, Jan2025-05-112025-05-1120222073-8994https://doi.org/10.3390/sym14091804https://hdl.handle.net/20.500.12416/9682Eldeeb, Ahmed/0000-0003-2822-4092In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall-Bellman-Pachpatte-type on time scales. These inequalities can be used as handy tools to study the qualitative and quantitative properties of solutions of the initial boundary value problem for partial delay dynamic equation.eninfo:eu-repo/semantics/openAccessGronwall'S InequalityDynamic InequalityTime ScalesLeibniz Integral Rule On Time ScalesΔ-Gronwall Dynamic Inequalities and Their Applications on Time ScalesArticle14910.3390/sym140918042-s2.0-85138574013WOS:000859488100001Q2Q2