Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays

X Wang, D Luo, Q Zhu - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper is concerned with the Ulam-Hyers stability (UHs) of Caputo type fuzzy fractional
differential equations (FFDEs) with time-delays. By applying Schauder's fixed point theorem …

The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability

HV Long, NTK Son, HTT Tam - Fuzzy Sets and Systems, 2017 - Elsevier
The foundation of the concepts of fuzzy fractional integral and Caputo gH-partial for fuzzy-
valued multivariable functions is defined. As a result, fuzzy fractional partial differential …

Z-differential equations

M Mazandarani, Y Zhao - IEEE Transactions on Fuzzy Systems, 2019 - ieeexplore.ieee.org
This paper is devoted to make a framework for studying a class of uncertain differential
equations called Z-differential equations. In order to achieve the purpose, we first introduce …

Fuzzy bang-bang control problem under granular differentiability

M Mazandarani, Y Zhao - Journal of the Franklin Institute, 2018 - Elsevier
In this paper, a class of fuzzy optimal control problem called fuzzy Bang-Bang (FBB) control
problem is revisited. The FBB control problem aims at finding control inputs which transfer …

Fuzzy tracking control of fuzzy linear dynamical systems

SMM Abbasi, A Jalali - ISA transactions, 2020 - Elsevier
This paper deals with the fuzzy tracking control problem of a class of uncertain linear
dynamical systems. In the uncertain linear dynamical system the uncertainty is considered …

Consensus of uncertain linear multi-agent systems with granular fuzzy dynamics

R Abdollahipour, K Khandani, AA Jalali - International Journal of Fuzzy …, 2022 - Springer
This paper is devoted to investigate the distributed consensus problem for multi-agent
systems with uncertain agent models. The uncertainty in the agents' dynamics is considered …

On random fuzzy fractional partial integro-differential equations under Caputo generalized Hukuhara differentiability

HV Long - Computational and Applied Mathematics, 2018 - Springer
This paper is devoted to the study of the solvability of random fuzzy fractional partial integro-
differential equations under Caputo generalized Hukuhara differentiability. The notions of …

Consensus of Uncertain Multiagent Systems Under Granular Differentiability Concept

R Abdollahipour, K Khandani… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this article, the problem of consensus of linear multiagent systems (MASs) with both
uncertain dynamics and uncertain switching topology is investigated. Uncertainties are …

(2302-7881) Finite-time stability results for fuzzy fractional stochastic delay system under Granular differentiability concept

MQ Tian, DF Luo - Iranian Journal of Fuzzy Systems, 2023 - ijfs.usb.ac.ir
In present manuscript, we investigate a new type of fuzzy fractional stochastic delay system
(FFSDS), in which the derivative is defined by Granular differentiability. We first transform the …

[HTML][HTML] 具有时滞的模糊分数阶随机微分方程的存在性

唐浦森, 陈琳 - Operations Research and Fuzziology, 2023 - hanspub.org
本文研究了一类具有时滞的Caputo 型模糊分数阶随机微分方程. 利用随机分析技术和Banach
不动点定理, 得到了所考虑系统解的存在唯一性. 最后, 我们提出一个例子来说明理论结果 …