Controllability of Nonlinear Neutral Fractional Integrodifferential Systems with Infinite Delay
Journal of Applied Nonlinear Dynamics, 2017Summary: In this paper, we establish sufficient conditions for the controllability of neutral fractional integrodifferential systems with infinite delay and infinite neutral fractional systems with implicit derivative. Fixed point approaches are employed for achieving the required results.
Balachandran, K., Divya, S.
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Approximate Controllability of Fractional Neutral Stochastic System with Infinite Delay
Reports on Mathematical Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakthivel, R., Ganesh, R., Suganya, S.
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Solutions to fractional neutral delay differential nonlocal systems
Chaos, Solitons & Fractals, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Valliammal +2 more
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Stability analysis of generalized neutral fractional differential systems with time delays
Applied Mathematics Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Ren, Chengbo Zhai
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Asymptotic stability of nonlinear fractional neutral singular systems
Journal of Applied Mathematics and Computing, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Yanfen, Wu, Ranchao, Qin, Zhiquan
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Constrained controllability of nonlinear neutral fractional integrodifferential systems
Journal of Control and Decision, 2016In this paper, we study the complete controllability for a class of non-linear neutral fractional integro-differential systems in a finite interval of time by means of controls whose initial and final values can be assigned in advance. The result is achieved using the Banach fixed-point theorem and Schauder’s fixed-point theorem.
S. Divya, K. Balachandran
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Controllability of fractional neutral stochastic functional differential systems
Zeitschrift für angewandte Mathematik und Physik, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Kexue, Peng, Jigen
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Null Controllability of Nonlinear Fractional Stochastic Large-Scale Neutral Systems
Differential Equations and Dynamical Systems, 2016In this paper the authors have considered the problem of null controllability of nonlinear fractional stochastic large-scale neutral systems in the finite dimensional space. The results are established by means of the controllability Gramian matrix defined via Mittag-Leffler matrix function and the Schauder fixed point theorem.
Sathiyaraj, T., Balasubramaniam, P.
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Stability and Synchronization of a Fractional Neutral Higher-Order Neural Network System
International Journal of Nonlinear Sciences and Numerical Simulation, 2020Abstract We discuss the stability and synchronization of some neural network systems with more than one feature. They are of higher-order, of fractional order and also involving delays of neutral type. Each one of these features presents substantial difficulties to overcome.
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Abstract The undamped oscillations of a scalar fractional neutral system are studied in this paper. For this purpose, it is proved that this kind of systems can have the oscillatory behavior. The necessary and sufficient condition is proposed to determine that there exists a delay value for which the system oscillates.
Afshin Mesbahi, Mohammad Haeri
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