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Stability Analysis for Conformable Non-instantaneous Impulsive Differential Equations
Bulletin of the Iranian Mathematical Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Yuanlin +2 more
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Real‐world processes that display non‐local behaviours or interactions, and that are subject to external impulses over non‐zero periods, can potentially be modelled using non‐instantaneous impulsive fractional differential equations or systems. These have been the subject of many recent papers, which rely on re‐formulating fractional differential ...
Arran Fernandez, Sartaj Ali, Akbar Zada
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Lipschitz stability of differential equations with supremum and non-instantaneous impulses
AIP Conference Proceedings, 2021Lipschitz stability for nonlinear differential equations with non-instantaneous impulses and supremum of the unknown function over a past time interval is studied. The impulses start abruptly at some points and their action continue on given finite intervals. Some sufficient conditions for Lipschitz stability are obtained.
S. Hristova, A. Dobreva, K. Ivanova
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On Stability for Non-Instantaneous Impulsive Delay Differential Equations
Qualitative Theory of Dynamical SystemsIn this paper, a class of scalar differential equations with delays and non-instantaneous impulses is studied.
Ma, Rui, Li, Mengmeng
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On variational methods to non-instantaneous impulsive fractional differential equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A New Class of $$(\omega ,c)$$-Periodic Non-instantaneous Impulsive Differential Equations
Mediterranean Journal of Mathematics, 2020First, in the case of homogeneous linear equations with linear non-instantaneous impulses, the authors study some properties of the non-instantaneous impulsive Cauchy matrix. Then, for both the nonhomogeneous linear equations and the nonlinear equations with a linear part and linear non-instantaneous impulses, a special type of the \((\omega,c ...
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