On Gronwall’S Type Integral Inequalities With Singular Kernels

Maksat Ashyraliyev

In this paper, the generalizations of Gronwall's type integral inequalities with singular kernels are established. In applications, theorems on stability estimates for the solutions of the nonliner integral equation and the integral-differential equation of the parabolic type are presented. Moreover, these inequalities can be used in the theory of fractional differential equations.