Abstract Fractional Integro-Differential Equations with Impulsive Actions

Abstract

This paper is dedicated to the problems of existence, uniqueness and continuous dependence of the solution
of fractional integro-differential equations with impulsive actions on the initial conditions in Banach space. The obtained
statements will find their applications in analysis of solution of initial-boundary value problems for fractional differential
equations and systems of such equations. These types of problems are more attractive for researchers due to the broad applications in physics, mechanics, chemistry, biology, medicine, and other areas of science and technology. Multidimensional
equations with impulsive actions, which describes a different process with immediate changes of state in complex nonlinear
fractal mediums have more real life applications .