Hukuhara differentiability of interval-valued functions and interval differential equations on time
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The main objective of this article is to establish the existence of solutions, stability, and
controllability results for piecewise nonlinear impulsive dynamic systems on an arbitrary time …

Impulsive systems have attracted an increased interest of numerous researchers around the
globe due to their important applications in many areas. Some typical physical systems …

In this paper, the controllability and observability for linear quaternion-valued impulsive
differential equations (QIDEs) are investigated. We mainly establish some sufficient and …

We establish several qualitative properties of a neutral switched impulsive evolution system
on an arbitrary time domain by using the theory of time scales. This is the first attempt for …

The purpose of this paper is to present the fundamental concepts of the basic theory for
linear impulsive systems on time scales. First, we introduce the transition matrix for linear …

In this paper, we establish the stability and controllability results for a Volterra integro-
dynamic system with non-instantaneous impulses on time scales. Banach fixed point …

In this work, we investigate the controllability results of a fractional integro-differential
equation with non-instantaneous impulses on time scales. Banach contraction theorem and …

In this paper, we establish some necessary and sufficient conditions of the controllability
results for a class of impulsive switched systems with non‐instantaneous jumps on time …

In this article, we establish the controllability results for time-varying neutral differential
equation with impulses on time scales. We also examine the exact controllability results for …