A review on fuzzy differential equations

M Mazandarani, L Xiu - IEEE access, 2021 - ieeexplore.ieee.org
Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

[图书][B] Fuzzy differential equations in various approaches

LT Gomes, LC de Barros, B Bede - 2015 - Springer
Differential equations have been widely explored in many fields, from applications in
physics, engineering, economics, and biology to theoretical mathematical developments. Its …

A geometric approach to solve fuzzy linear systems of differential equations

N Gasilov, SG Amrahov, AG Fatullayev - arXiv preprint arXiv:0910.4307, 2009 - arxiv.org
In this paper, systems of linear differential equations with crisp real coefficients and with
initial condition described by a vector of fuzzy numbers are studied. A new method based on …

On fuzzifications of discrete dynamical systems

J Kupka - Information Sciences, 2011 - Elsevier
Let X denote a locally compact metric space and φ: X→ X be a continuous map. In the 1970s
Zadeh presented an extension principle helping us to fuzzify the dynamical system (X, φ), ie …

On linear fuzzy differential equations by differential inclusions' approach

A Khastan, R Rodriguez-Lopez - Fuzzy Sets and Systems, 2020 - Elsevier
In this paper, we study first order linear fuzzy differential equations under differential
inclusions and strongly generalized differentiability approaches. We present some new …

A numerical method to solve a fuzzy differential equation via differential inclusions

XM Liu, J Jiang, L Hong - Fuzzy Sets and Systems, 2021 - Elsevier
This article provides a numerical method to solve a fuzzy differential equation via differential
inclusions. The method obtains response solutions with their membership distribution …

Periodic problems of first order uncertain dynamical systems

M Chen, D Li, X Xue - Fuzzy Sets and Systems, 2011 - Elsevier
It is well known that there are no periodic solutions to fuzzy differential equations in the
sense of Hukuhara derivatives, ie H-derivatives, so fuzzy differential equations in the sense …

On periodic solutions to first order linear fuzzy differential equations under differential inclusions' approach

A Khastan, R Rodríguez-López - Information Sciences, 2015 - Elsevier
In this work, we study some properties of the solutions to first order linear fuzzy differential
equations under differential inclusions' approach. We show that the differential inclusions' …

Switching point solution of second-order fuzzy differential equations using differential transformation method

N Salamat, M Mustahsan, MM Saad Missen - Mathematics, 2019 - mdpi.com
The first-order fuzzy differential equation has two possible solutions depending on the
definition of differentiability. The definition of differentiability changes as the product of the …

Solving a second order fuzzy initial value problem using the heaviside function

Ö Akın, T Khaniyev, S Bayeğ… - Turkish Journal of …, 2016 - dergipark.org.tr
In this paper, we reformulate the algorithm in [7] to find an analytical expression for-cuts of
the solution of the second order nonhomogeneous fuzzy initial value problem with fuzzy …