Results 11 to 20 of about 28,110 (289)
Implicit Caputo fractional q-difference equations with non instantaneous impulses
Differential Equations & Applications, 2023 In the present article, we prove some existence results for a class of implicit Caputofractional q-difference equations with non instantaneous impulses in Banach spaces. The used techniques rely on the concepts of measure of noncompactness and the use of suitable fixed point theorems.
Abbas, Saïd +2 more
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Existence of mild solutions for fractional non-instantaneous impulsive integro-differential equations with nonlocal conditions [PDF]
Arab Journal of Mathematical Sciences, 2020 This paper is concerned with the existence of mild solutions for a class of fractional semilinear integro-differential equations having non-instantaneous impulses. The result is obtained by using noncompact semigroup theory and fixed point theorem.
Arshi Meraj, Dwijendra N. Pandey
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FINITE-TIME STABILITY OF NON-INSTANTANEOUS IMPULSIVE SET DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2023 Summary: In this paper, we investigate the finite-time stability of non-instant-aneous impulsive set differential equations. By using the generalized Gronwall inequality and a revised Lyapunov method, the finite-time stability criteria for such equations are obtained. Finally, an example is given to illustrate the validity of the results.
Wang, Peiguang, Guo, Mengyu, Bao, Junyan
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Finite-time stability of set switched systems with non-instantaneous impulses
Applied Mathematics in Science and Engineering, 2022 In this paper, we discuss the finite-time stability of set switched systems with non-instantaneous impulses which consist of stable and unstable subsystems through introducing a revised mode-dependent average dwell time method.
Peiguang Wang, Mengyu Guo, Junyan Bao
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Alexandria Engineering Journal, 2021 In this work, we consider a fuzzy delay differential system with non-instantaneous impulses and investigate the existence, uniqueness and total controllability results.
Anil Kumar +2 more
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Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses [PDF]
Mediterranean Journal of Mathematics, 2015 The paper deals with the following problem involving a semilinear differential equation subject to the action of non-istantaneous impulses: \[ \begin{aligned} & u'(t)=Au(t)+f(t,u(t))\;,\;t\in [s_i,t_{i+1}],\, i\in \mathbb{N},\\ & u(t)=g_i(t,N_i(t)(u))\;,\;t\in (t_i,s_i],\, i\in \mathbb{N},\\ & u(0)=x_0, \end{aligned} \] where: \(A:D(A)\subseteq X\to X\)
Pierri, Michelle +2 more
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Asymptotically automorphic solutions of abstract fractional evolution equations with non-instantaneous impulses [PDF]
Surveys in Mathematics and its Applications, 2022 In this paper, we study the existence of asymptotically automorphic mild solutions of fractional evolution equations with non-instantaneous impulses. The main results are based upon some properties of sectorial operators, and Krasnoselkii fixed point ...
Noreddine Rezoug +2 more
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Arab Journal of Basic and Applied Sciences, 2023 In this article, we tackle the optimal control and controllability of neutral fractional nonlocal integro-differential equations (NFNIE) of Atangana–Baleanu–Caputo with non-instantaneous impulses.
V. Vijayaraj +6 more
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Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]
, 2016 State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
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Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions [PDF]
Archives of Control Sciences, 2022 In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously.
Dalia Cabada +3 more
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