Results 31 to 40 of about 26,297 (256)
About the Resolvent Kernel of Neutral Linear Fractional System with Distributed Delays
Mathematics, 2022 The present work considers the initial problem (IP) for a linear neutral system with derivatives in Caputo’s sense of incommensurate order, distributed delay and various kinds of initial functions.
Hristo Kiskinov +2 more
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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Mathematics, 2023 We consider an initial problem (IP) for a linear neutral system with distributed delays and derivatives in Caputo’s sense of incommensurate order, with different kinds of initial functions.
Ekaterina Madamlieva +2 more
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Robust finite-time stability of uncertain neutral nonhomogeneous fractional-order systems with time-varying delays [PDF]
Theoretical and Applied Mechanics, 2020 This article addresses the problem of finite-time stability for uncertain neutral nonhomogeneous fractional-order systems with time-varying delays where a stability test procedure is suggested.
Lazarević Mihailo P. +3 more
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$H_\infty$-Stability Analysis of Fractional Delay Systems of Neutral Type
SIAM Journal on Control and Optimization, 2016 Summary: In this paper we consider linear fractional systems of commensurate orders and with commensurate delays, whose characteristic equation is a polynomial in the two variables \(s^\alpha\) \((0 < \alpha < 1)\) and \(e^{- s \tau}\) (\(\tau > 0\)). These systems may have single or multiple chains of poles asymptotic to the imaginary axis.
Nguyen, Le Ha Vy +2 more
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Relative Controllability of ψ-Caputo Fractional Neutral Delay Differential System
Fractal and Fractional, 2023 The aim of this work is to analyze the relative controllability and Ulamn–Hyers stability of the ψ-Caputo fractional neutral delay differential system. We use neutral ψ-delayed perturbation of the Mitttag–Leffler matrix function and Banach contraction principle to examine the Ulam–Hyers stability of our considered system.
Kothandapani Muthuvel +2 more
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Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay
Abstract and Applied Analysis, 2013 We examine the controllability problem for a class of neutral fractional integrodifferential equations with impulses and infinite delay. More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral ...
R. Ganesh +4 more
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Approximate controllability of fractional neutral evolution equations with nonlocal conditions
上海师范大学学报. 自然科学版, 2016 In this paper, the approximate controllability of fractional neutral differential system with nonlocal conditions is studied. By using the theory of fractional power of operators and the Krasnoselskii's fixed point theorem, the existence of mild ...
SHEN Mingyuan, KOU Chunhai, GUO Shaojun
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Controllability of a fractional linear time-invariant neutral dynamical system
Applied Mathematics Letters, 2013 Abstract This paper is concerned with the controllability of a fractional linear time-invariant neutral dynamical system. The solution of the state equation for the system is derived first. Two criteria on controllability of the system are established by constructing suitable control functions.
Xian-Feng Zhou +2 more
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Controllability of Fractional Neutral Stochastic Integro-Differential Systems with Infinite Delay [PDF]
Mathematical Problems in Engineering, 2013 This paper is concerned with the controllability of a class of fractional neutral stochastic integro-differential systems with infinite delay in an abstract space. By employing fractional calculus and Sadovskii's fixed point principle without assuming severe compactness condition on the semigroup, a set of sufficient conditions are derived for ...
Sun, Xichao, Yan, Litan, Cui, Jing
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