We present an overview of the literature on solutions to impulsive Caputo fractional
differential equations. Lyapunov direct method is used to obtain sufficient conditions for …

This accessible monograph is devoted to a rapidly develo** area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

Recently, in series of papers we have proposed different concepts of solutions of impulsive
fractional differential equations (IFDE). This paper is a survey of our main results about IFDE …

This paper is motivated from some recent papers treating the problem of the existence of a
solution for impulsive differential equations with fractional derivative. We firstly show that the …

In this paper, the first purpose is treating Cauchy problems and boundary value problems for
nonlinear impulsive differential equations with Caputo fractional derivative. We introduce the …

In this paper we prove the existence of solutions of certain kinds of nonlinear fractional
integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal …

This article deals with the existence of solutions of nonlinear fractional pantograph
equations. Such model can be considered suitable to be applied when the corresponding …

This paper is concerned with the formula of mild solutions to impulsive fractional evolution
equation. For linear fractional impulsive evolution equations [8–25, 27, 30, 31], described …

In this paper, we consider fractional ordinary differential equations with not instantaneous
impulses. Firstly, we construct a uniform framework to derive a formula of solutions for …

This paper is mainly concerned with the existence of solutions of first order nonlinear
impulsive fractional integrodifferential equations in Banach spaces. The results are obtained …