Impulsive Integral Inequalities With a Non-Separable Kernel

Abstract

Abstract. In this paper we present some Gronwall-tpye inequalities with a non-separable kernel and obtain the explicit estimate for solutions of impulsive differential equations. Furthermore, we give an example to illustrate our results.

A Note on Linear Impulsive Fractional Differential Equations

“…Also, Choi et al [2,3] studied impulsive integral inequalities with a non-separable kernel and stability of Caputo fractional differential equations. Denton and Vatsala [4] established the explicit representation of the solution of the linear fractional differential equation with variable coefficient and they developed the Gronwall integral inequality for the Riemann-Liouville fractional differential equation.…”