Results 1 to 10 of about 26,297 (256)

Finite Time Stability of Fractional Order Systems of Neutral Type

open access: yesFractal 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
doaj   +4 more sources

Stability of Nonlinear Fractional Neutral Differential Difference Systems [PDF]

open access: yesDiscrete 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
doaj   +3 more sources

Complete Controllability of Fractional Neutral Differential Systems in Abstract Space [PDF]

open access: yesAbstract 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
doaj   +3 more sources

Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay

open access: yesMathematics, 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
doaj   +3 more sources

An Investigation on the Optimal Control for Hilfer Fractional Neutral Stochastic Integrodifferential Systems with Infinite Delay

open access: yesFractal and Fractional, 2022
The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
doaj   +3 more sources

Asymptotical stability of Riemann–Liouville fractional neutral systems

open access: yesApplied Mathematics Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song Liu, Xiang Wu
exaly   +3 more sources

Controllability of nonlinear stochastic neutral fractional dynamical systems

open access: yesNonlinear 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
doaj   +2 more sources

Optimal feedback control for fractional neutral dynamical systems

open access: yesOptimization, 2018
In this paper, we consider feedback control systems governed by fractional neutral equations involving Riemann–Liouville derivatives. Firstly, we show the existence and uniqueness of solutions for the feedback control systems by applying Krasnoselskiis fixed point theorem.
Zhenhai Liu, Biao Zeng
exaly   +3 more sources

The Existence of Mild Solutions and Approximate Controllability for Nonlinear Fractional Neutral Evolution Systems

open access: yesInternational Journal of Applied Mathematics and Computer Science
The 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
doaj   +2 more sources

Controllability Problem of Fractional Neutral Systems: A Survey [PDF]

open access: yesMathematical Problems in Engineering, 2017
The following article presents recent results of controllability problem of dynamical systems in infinite‐dimensional space. Generally speaking, we describe selected controllability problems of fractional order systems, including approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in ...
Artur Babiarz, Michał Niezabitowski
openaire   +2 more sources

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