Some generalizations of dynamic Opial-type inequalities in conformable calculus

In this paper, we consider generalized conformable integrals to establish new Opial-type inequalities. The obtained results mainly depend on H & ouml;lder's inequality, some algebraic inequalities, and a simple consequence of Keller's chain rule on time scales. Our obtained results unify and extend some continuous and discrete inequalities. In the special case alpha=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\alpha = 1$\end{document}, our results cover some well-known inequalities of Opial-type on time scales.