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 …

[HTML][HTML] Chebyshev type inequalities for interval-valued functions

D Zhao, T An, G Ye, W Liu - Fuzzy Sets and Systems, 2020 - Elsevier
We introduce the interval double integral for interval-valued functions, and give some
fundamental properties. Further, we establish some continuous and discrete Chebyshev …

Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions

D Ghosh, RS Chauhan, R Mesiar, AK Debnath - Information Sciences, 2020 - Elsevier
In this article, the notions of gH-directional derivative, gH-Gâteaux derivative and gH-Fréchet
derivative for interval-valued functions are proposed. The existence of gH-Fréchet derivative …

Interval linear quadratic regulator and its application for speed control of DC motor in the presence of uncertainties

Y Zhi, W Weiqing, C Jing, N Razmjooy - ISA transactions, 2022 - Elsevier
An analytical investigation of a DC motor with interval uncertainties is performed in this study
and a new approach by interval analysis is suggested for optimal control of the system. The …

Solving Pythagorean fuzzy partial fractional diffusion model using the Laplace and Fourier transforms

M Akram, T Ihsan - Granular Computing, 2023 - Springer
Many mathematical models describe the Corona virus disease 2019 (COVID-19) outbreak;
however, they require advance mathematical skills. The need for this study is to determine …

Optimality conditions and duality for a class of generalized convex interval-valued optimization problems

Y Guo, G Ye, W Liu, D Zhao, S Treanţǎ - Mathematics, 2021 - mdpi.com
This paper is devoted to derive optimality conditions and duality theorems for interval-valued
optimization problems based on gH-symmetrically derivative. Further, the concepts of …

Fuzzy fractional diffusion processes and drug release

M Keshavarz, T Allahviranloo - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, the fuzzy fundamental triangular solution of the fractional diffusion equation
under Caputo generalized Hukuhara partial differentiability by using the fuzzy Laplace …

Generalized-Hukuhara-gradient efficient-direction method to solve optimization problems with interval-valued functions and its application in least-squares problems

D Ghosh, AK Debnath, RS Chauhan… - International Journal of …, 2022 - Springer
This article proposes a general gH-gradient efficient-direction method and a W W-gH-
gradient efficient method for the optimization problems with interval-valued functions. The …

On the fuzzy solutions of time-fractional problems

M Ghaffari, T Allahviranloo, S Abbasbandy… - Iranian Journal of Fuzzy …, 2021 - ijfs.usb.ac.ir
The main purpose of this paper is to obtain an analytical solution for the time-fractional fuzzy
equation. To do this, the time-fractional equation is transformed into an algebraic equation …

On Ekeland's variational principle for interval-valued functions with applications

C Zhang, N Huang - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, we obtain a version of Ekeland's variational principle for interval-valued
functions by means of the Dancs-Hegedüs-Medvegyev theorem (Dancs et al.(1983)[14]). We …