Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 1 2023 01 01 Henstock-Kurzweil-Stieltjes-$\Diamond $-double integral for Gronwall-Bellman's type lemma on time scales 833 841 6563 10.22075/ijnaa.2021.24548.2767 EN David Adebisi Afariogun Department of Mathematical Sciences, Ajayi Crowther University, Oyo, Oyo State, Nigeria Adesanmi Alao Mogbademu Department of Mathematics, University of Lagos, Akoka, Yaba, Lagos State, Nigeria Journal Article 2021 09 15 We discuss some new results for Gronwall’s type inequality on time scales. An analysis of the behavior of the solutions of some hyperbolic partial differential equations as applicable to our results is considered. Integral inequalities Double integral Henstock-Kurzweil integral Gronwall type time scales https://ijnaa.semnan.ac.ir/article_6563_fd296deddb3de0bab71b975564d3a9f9.pdf