Results 1 to 10 of about 10,137,077 (277)
Finite Time Stability of Fractional Order Systems of Neutral Type
Fractal and Fractional, 2022 This work deals with a new finite time stability (FTS) of neutral fractional order systems with time delay (NFOTSs). In light of this, FTSs of NFOTSs are demonstrated in the literature using the Gronwall inequality.
Abdellatif Ben Makhlouf, Dumitru Baleanu
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Stability of Nonlinear Fractional Neutral Differential Difference Systems [PDF]
Discrete Dynamics in Nature and Society, 2014 We study the stability of a class of nonlinear fractional neutral differential difference systems equipped with the Caputo derivative. We extend Lyapunov-Krasovskii theorem for the nonlinear fractional neutral systems.
Kewei Liu, Wei Jiang
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Complete Controllability of Fractional Neutral Differential Systems in Abstract Space [PDF]
Abstract and Applied Analysis, 2013 By using fractional power of operators and Sadovskii fixed point theorem, we study the complete controllability of fractional neutral differential systems in abstract space without involving the compactness of characteristic solution operators introduced
Fang Wang, Zhen-hai Liu, Jing Li
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Controllability of nonlinear stochastic neutral fractional dynamical systems [PDF]
Nonlinear Analysis, 2017 In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic ...
Mabel Lizzy Rajendran +2 more
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Mathematics, 2020 The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend
Ekaterina Madamlieva +3 more
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Fractal and Fractional, 2021 In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and ...
Hristo Kiskinov +3 more
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On the Existence and Stability of a Neutral Stochastic Fractional Differential System
Fractal and Fractional, 2022 The main purpose of this paper is to investigate the existence and Ulam-Hyers stability (U-Hs) of solutions of a nonlinear neutral stochastic fractional differential system. We prove the existence and uniqueness of solutions to the proposed system by using fixed point theorems and the Banach contraction principle.
Manzoor Ahmad +4 more
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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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Existence results for a coupled system of nonlinear neutral fractional differential equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sanyang Liu, Guotao Wang, Lihong Zhang
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International Journal of Applied Mathematics and Computer ScienceThe existence of mild solutions and approximate controllability for Riemann–Liouville fractional neutral evolution systems with nonlocal conditions of a fractional order is investigated.
Echchaffani Zoubida +3 more
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