Results 11 to 20 of about 116,815 (217)
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
doaj +3 more sources
Controllability of nonlinear stochastic neutral fractional dynamical systems
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
doaj +2 more sources
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
doaj +3 more sources
Approximate Controllability of Neutral Differential Systems with Fractional Deformable Derivatives
Fractal and Fractional, 2023 This article deals with the existence and uniqueness of solutions, as well as the approximate controllability of fractional neutral differential equations (ACFNDEs) with deformable derivatives.
Sreedharan Raju +4 more
doaj +2 more sources
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
doaj +2 more sources
Existence of Hilfer fractional neutral stochastic differential systems with infinite delay
Қарағанды университетінің хабаршысы. Математика сериясыThe goal of this study is to propose the existence of mild solutions to delay fractional neutral stochastic differential systems with almost sectorial operators involving the Hilfer fractional (HF) derivative in Hilbert space, which generalized the ...
S. Sivasankar +4 more
doaj +2 more sources
Controllability Problem of Fractional Neutral Systems: A Survey [PDF]
Mathematical 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
Controllability of Impulsive Neutral Fractional Stochastic Systems
Symmetry, 2022 The study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional stochastic systems (FSF) and examine the Poisson jumps in finite dimensional space where the fractional impulsive neutral stochastic ...
Qura Tul Ain +3 more
openaire +3 more sources
Stability of fractional neutral systems [PDF]
Advances in Difference Equations, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, KeWei, Jiang, Wei
openaire +2 more sources
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
openaire +2 more sources