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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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IFAC Proceedings Volumes, 2013
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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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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On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces
Fundamenta Informaticae, 2017Based on concepts for semigroups, fractional calculus, resolvent operator and Banach contraction principle, this manuscript is principally involved with existence results for fractional neutral integro-differential systems with state-dependent delay in Banach spaces.
S. Kailasavalli +2 more
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Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems
Journal of Vibration and Control, 2015In this paper, the control problem of nonlinear neutral fractional Volterra integrodifferential systems with implicit fractional derivative is established. Such kind of problems involve a number of problems on complex media. Sufficient conditions for controllability are obtained through the notions of a condensing map and measure of noncompactness of a
Balachandran, K. +3 more
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Riemann–Liouville Fractional Stochastic Neutral Integro‐Differential Systems
Mathematical Methods in the Applied SciencesABSTRACT This paper presents novel results on the asymptotic stability of mild solutions in the th moment for Riemann–Liouville fractional stochastic neutral integro‐differential systems (abbreviated as Riemann–Liouville FSNIDSs) of order , using Banach's contraction mapping principle.
Chahra Kechar +2 more
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