Some New Fractional Integral Inequalities in the Sense of Conformable Fractional Derivative

In the paper, basing on the definitions of the conformable fractional derivative and integral as well as the properties of fractional calculus, the authors present some new fractional integral inequalities, from which explicit bounds for concerned but unknown functions are derived. Basing on these inequalities, the authors also establish Volterra-Fredholm type fractional integral inequalities. These inequalities generalize some existing results in the literature and can be used in the research of certain qualitative properties such as boundedness and continuous dependence on the initial value of solutions of fractional differential equations. The authors also present some applications of the main results.