Abstract The aim of this work is to investigate the controllability a class switched Hilfer neutral fractional systems with non-instantaneous impulses in finite-dimensional spaces. We construct new control function that controls system at final time time-interval and each impulsive points i.e. we give so-called total results. Also, extend these results corresponding integro-system. mainly use fixed point theorem, Laplace transformation, Mittag-Leffler function, Gramian type matrices calculus...

The present paper is devoted to the study of existence and stability fractional integro differential equation with non-instantaneous impulses periodic boundary condition on time scales. This consists two segments: first segment work concerned theory existence, uniqueness other Hyer's-Ulam type's analysis. tools for include Banach fixed point theorem nonlinear functional Finally, in support, an example presented validate obtained results.

Abstract In this article, we investigate exponential lag synchronization results for the Cohen–Grossberg neural networks with discrete and distributed delays on an arbitrary time domain by applying feedback control. We formulate problem using scales theory so that can be applied to any uniform or non-uniform domains. Also, provide a comparison of shows obtained are unified generalize existing results. Mainly, use matrix-measure Halanay inequality establish these last section, two simulated...

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 theorem has been used to these results. last section, numerical example is given illustrate effectiveness of analytic

Abstract In this paper, we establish some necessary and sufficient conditions of the controllability results for a class impulsive switched systems with non‐instantaneous jumps on time scales. Firstly, define solution considered problem by using parameter variation method. We also Gramian matrices to results. Moreover, give under which invariant system is totally controllable. At end, provide one numerical example different scales validate obtained analytical

Abstract 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 non-linear functional analysis have been used to establish these results. support, numerical example simulation for different scales is given validate obtained analytical outcomes.

Abstract In this paper, we establish the total controllability and observability results for a dynamic system with non‐instantaneous impulses on time scales in finite dimensional space . This paper consists of two segments: first segment work is concerned other analysis. The tools study include variation parameter Gramian matrix. Some theoretical as well numerical examples simulation are given to illustrate application these results.

Abstract The main motive of this research article is to establish the existence, uniqueness and stability results for non-linear fractional differential equation with impulsive condition on time scales. Banach, Leray-Schauder’s alternative type fixed point theorems are used examine these results. Further, we give existence solution corresponding non-local problem. Moreover, outline utilization outcomes some examples given.

Abstract In this manuscript, we investigate the existence, uniqueness, Hyer-Ulam stability and controllability analysis for a fractional dynamic system on time scales. Mainly, manuscript has three segments: first segment, give existence of solutions. The second segment is devoted to study while in last establish results. We use Banach nonlinear alternative Lery-Schauder–type fixed point theorem these Also, some numerical examples different Moreover, two applications outline effectiveness obtained

Abstract This paper investigates the projective lag quasi-synchronization by feedback control of a coupled dynamical system with delays and parameter mismatches on arbitrary time domains. Being formulated scales, our results are valid simultaneously for continuous- discrete-time models as well any non-standard domain. Furthermore, controller design respects structure equations so that we can characterize stabilization limited action. Our proofs rely unified matrix-measure theory generalized...

In this manuscript, we examine the Hyer's-Ulam stability and exact controllability results for impulsive evolution system on time scales.This manuscript has two segments: first segment of work is concerned with type's analysis other to results.We used Banach fixed point theorem, operator theory nonlinear functional establish these results.At last, have presented some theoretical numerical examples outcome utilization developed analytical results.

Abstract In this work, we investigate the controllability of singular dynamic systems on time scales. First, decompose consider into a slow subsystem and fast subsystem. After that, use Laplace transform convolution theorem to derive state response these two subsystems. Finally, established some necessary sufficient conditions for At last, provide an example illustrate obtained analytical results.