Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function

Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function

This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response and stochastic chaotic behaviors. Firstly, we give a representation of solution for a stochastic fractional order chaotic system. Secondly, some useful...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	T. Sathiyaraj, Michal Fečkan, JinRong Wang
Формат:	Өгүүллэг
Хэл сонгох:	English
Хэвлэсэн:	MDPI AG 2022-03-01
Цуврал:	Fractal and Fractional
Нөхцлүүд:	fractional calculus stochastic calculus stability analysis synchronization theory
Онлайн хандалт:	https://www.mdpi.com/2504-3110/6/4/192

Ижил төстэй зүйлс

Synchronization of Butterfly Fractional Order Chaotic System
-н: Michal Fečkan, зэрэг
Хэвлэсэн: (2020-03-01)

Relations between fractional models with three-parameter Mittag-Leffler kernels
-н: Arran Fernandez, зэрэг
Хэвлэсэн: (2020-04-01)

Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
-н: Arran Fernandez, зэрэг
Хэвлэсэн: (2020-09-01)

Variational Problems Involving a Generalized Fractional Derivative with Dependence on the Mittag–Leffler Function
-н: Ricardo Almeida
Хэвлэсэн: (2023-06-01)

Global Mittag–Leffler Stability and Stabilization Analysis of Fractional-Order Quaternion-Valued Memristive Neural Networks
-н: Grienggrai Rajchakit, зэрэг
Хэвлэсэн: (2020-03-01)

Fejér-Type Fractional Integral Inequalities Involving Mittag-Leffler Function
-н: Maja Andrić
Хэвлэсэн: (2024-11-01)

Analysis of the fractional polio model with the Mittag-Leffler kernels
-н: Muhammad Sajid iqbal, зэрэг
Хэвлэсэн: (2023-02-01)

A generalization of the Mittag–Leffler function and solution of system of fractional differential equations
-н: Junsheng Duan
Хэвлэсэн: (2018-07-01)

Stability results for neutral fractional stochastic differential equations
-н: Omar Kahouli, зэрэг
Хэвлэсэн: (2024-01-01)

Numerical implementation of Mittag-Leffler function: a revision study
-н: Eberth de Almeida Correa, зэрэг
Хэвлэсэн: (2022-09-01)

Matrix Mittag‑Leffler function in fractional systems and its computation
-н: I. Matychyn, зэрэг
Хэвлэсэн: (2018-08-01)

Fractional differintegral operators of the generalized Mittag-Leffler function
-н: Anjali Gupta, зэрэг
Хэвлэсэн: (2015-04-01)

New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel
-н: Pshtiwan Othman Mohammed, зэрэг
Хэвлэсэн: (2022-02-01)

Multivariate Mittag-Leffler Solution for a Forced Fractional-Order Harmonic Oscillator
-н: Jessica Mendiola-Fuentes, зэрэг
Хэвлэсэн: (2024-05-01)

Mittag–Leffler Fractional Stochastic Integrals and Processes with Applications
-н: Enrica Pirozzi
Хэвлэсэн: (2024-10-01)

Mittag–Leffler Memory Kernel in Lévy Flights
-н: Maike A. F. dos Santos
Хэвлэсэн: (2019-08-01)

The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
-н: Arran Fernandez, зэрэг
Хэвлэсэн: (2018-03-01)

Analytical and numerical negative boundedness of fractional differences with Mittag–Leffler kernel
-н: Pshtiwan Othman Mohammed, зэрэг
Хэвлэсэн: (2023-01-01)

q-Mittag-Leffler stability and Lyapunov direct method for differential systems with q-fractional order
-н: Xiaoyan Li, зэрэг
Хэвлэсэн: (2018-03-01)

New Aspects of ZZ Transform to Fractional Operators With Mittag-Leffler Kernel
-н: Rajarama Mohan Jena, зэрэг
Хэвлэсэн: (2020-09-01)

Stability, Periodicity, and Related Problems in Fractional-Order Systems
-н: Michal Fečkan, зэрэг
Хэвлэсэн: (2022-06-01)

Fractal–fractional order stochastic chaotic model: A synchronization study
-н: T. Sathiyaraj, зэрэг
Хэвлэсэн: (2023-09-01)

Numerical Solution of Multiterm Fractional Differential Equations Using the Matrix Mittag–Leffler Functions
-н: Marina Popolizio
Хэвлэсэн: (2018-01-01)

Synchronization of generalized fractional complex networks with partial subchannel losses
-н: Changping Dai, зэрэг
Хэвлэсэн: (2024-02-01)

Integral representations of Mittag-Leffler function on the positive real axis
-н: Eliana Contharteze Grigoletto, зэрэг
Хэвлэсэн: (2019-07-01)

Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus?
-н: Francesco Mainardi
Хэвлэсэн: (2020-11-01)

Mittag–Leffler Functions in Discrete Time
-н: Ferhan M. Atıcı, зэрэг
Хэвлэсэн: (2023-03-01)

Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel
-н: Iván Area, зэрэг
Хэвлэсэн: (2021-12-01)

On certain fractional calculus operators involving generalized Mittag-Leffler function
-н: Dinesh Kumar
Хэвлэсэн: (2016-06-01)

On the Matrix Mittag–Leffler Function: Theoretical Properties and Numerical Computation
-н: Marina Popolizio
Хэвлэсэн: (2019-11-01)

A Stochastic Fractional Calculus with Applications to Variational Principles
-н: Houssine Zine, зэрэг
Хэвлэсэн: (2020-08-01)

Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function
-н: F. Ghanim, зэрэг
Хэвлэсэн: (2021-09-01)

Battery state-of-charge estimation using fractional extended Kalman filter with Mittag-Leffler memory
-н: J.I. Hidalgo-Reyes, зэрэг
Хэвлэсэн: (2020-08-01)

Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks
-н: Fengxian Wang, зэрэг
Хэвлэсэн: (2021-05-01)

Sinc Based Inverse Laplace Transforms, Mittag-Leffler Functions and Their Approximation for Fractional Calculus
-н: Gerd Baumann
Хэвлэсэн: (2021-05-01)

A Numerical Approach of Handling Fractional Stochastic Differential Equations
-н: Iqbal M. Batiha, зэрэг
Хэвлэсэн: (2023-04-01)

Efficient Galerkin solution of stochastic fractional differential equations using second kind Chebyshev wavelets
-н: Fakhrodin Mohammadi
Хэвлэсэн: (2017-10-01)

A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system
-н: Dumitru Baleanu, зэрэг
Хэвлэсэн: (2021-06-01)

Projective synchronization of different uncertain fractional-order multiple chaotic systems with input nonlinearity via adaptive sliding mode control
-н: Zahra Rashidnejad Heydari, зэрэг
Хэвлэсэн: (2019-12-01)

Some Existence, Uniqueness, and Stability Results for a Class of <i>ϑ</i>-Fractional Stochastic Integral Equations
-н: Fahad Alsharari, зэрэг
Хэвлэсэн: (2024-12-01)