q-fractional differential equations with uncertainty

Z Noeiaghdam, T Allahviranloo, JJ Nieto - Soft Computing, 2019 - Springer
In this paper, first we are going to introduce the fuzzy q-derivative and fuzzy q-fractional
derivative in Caputo sense by using generalized Hukuhara difference, and then provide the …

A fuzzy method for solving fuzzy fractional differential equations based on the generalized fuzzy Taylor expansion

T Allahviranloo, Z Noeiaghdam, S Noeiaghdam… - Mathematics, 2020 - mdpi.com
In this field of research, in order to solve fuzzy fractional differential equations, they are
normally transformed to their corresponding crisp problems. This transformation is called the …

Multidimensional interval type 2 epistemic fuzzy arithmetic

A Piegat, M Landowski - Iranian Journal of Fuzzy Systems, 2021 - ijfs.usb.ac.ir
The article presents a new, multidimensional arithmetic of type 2 fuzzy numbers (M-IT2-F
arithmetic) in which the result is a multidimensional fuzzy set. This arithmetic increases the …

A novel technique to solve the fuzzy system of equations

N Mikaeilvand, Z Noeiaghdam, S Noeiaghdam… - Mathematics, 2020 - mdpi.com
The aim of this research is to apply a novel technique based on the embedding method to
solve the n× n fuzzy system of linear equations (FSLEs). By using this method, the strong …

A method for solving fuzzy matrix equations

M Amirfakhrian, M Fallah, R Rodríguez-López - Soft Computing, 2018 - Springer
There are many reported studies, in which researchers tried to solve a system of fuzzy linear
equations numerically. In this paper, a numerical method for solving fuzzy system A ̃ XB= ̃ C …

Solutions of Fuzzy Time Fractional Heat Equation

S Çetinkaya, A Demir - Journal of Mathematical Extension, 2021 - ijmex.com
Fuzzy fractional heat equations (FFHEs) are utilized to analyse the behaviour of the certain
phenomena in various mathematical and scientific models. The main goal of this paper is to …