Results 1 to 10 of about 68,128 (277)
Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative [PDF]
Mathematics, 2022 This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of solution to fractional differential equations with non-instantaneous impulses on an arbitrary domain. Using the modern tools of functional analysis, we achieve the required conditions. Finally, we provide an example of how our results can be applied.
Ahmed Salem, Sanaa Abdullah
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Fractal and Fractional, 2023 This paper studies a new class of instantaneous and non-instantaneous impulsive boundary value problem involving the generalized ψ-Caputo fractional derivative with a weight.
Dongping Li +3 more
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Non-Instantaneous Impulses in Caputo Fractional Differential Equations [PDF]
Fractional Calculus and Applied Analysis, 2017 Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo fractional differential equations. In the literature there are two approaches in interpretation of the
Agarwal, Ravi +2 more
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Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity [PDF]
Comptes Rendus. Mathématique, 2020 In this paper, we establish the existence of smooth center manifolds for a class of nonautonomous differential equations with non-instantaneous impulses under sufficiently small perturbations of the linear homogeneous part which has a nonuniform exponential trichotomy.
Li, Mengmeng +3 more
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IET Control Theory & Applications, 2023 Abstract This paper studies the asymptotic stability for a class of non‐instantaneous impulsive systems and Takagi‐Sugeno (T‐S) fuzzy non‐instantaneous impulsive control for linear and nonlinear systems. First, a class of concrete comparison system for a more accurate and universal nonlinear non‐instantaneous impulsive model is ...
Hao Deng, Chuandong Li, Yinuo Wang
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Stability of Differential Systems with Impulsive Effects
Mathematics, 2023 In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered.
Chunxiang Li, Fangshu Hui, Fangfei Li
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Advances in Difference Equations, 2020 In this paper, we investigate the existence and stability of solutions for a class of optimal control problems with 1-mean equicontinuous controls, and the corresponding state equation is described by non-instantaneous impulsive differential equations ...
Yi Chen, Kaixuan Meng
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Nonautonomous Dynamical Systems, 2022 This paper focuses on a new class of non-instantaneous impulsive stochastic differential equations generated by mixed fractional Brownian motion with poisson jump in real separable Hilbert space.
Varshini S. +3 more
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Fractal and Fractional, 2023 In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system’s mild solution (1). Furthermore, the mean square moment for the aforementioned system (1)
Dimplekumar Chalishajar +3 more
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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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