A full fuzzy method for solving differential equation based on Taylor expansion

T Allahviranloo, Z Gouyandeh… - Journal of Intelligent & …, 2015 - content.iospress.com
In this paper, the fuzzy Taylor expansion is presented based on the concept of generalized
Hukuhara differentiability. Using the fuzzy Taylor expansion, the Euler method and its local …

Analyzing fuzzy boundary value problems: a study on the influence of mitochondria and ER fluxes on calcium ions in neuron cells

R Bhattacharyya, BK Jha - Journal of Bioenergetics and Biomembranes, 2024 - Springer
Cytosolic-free calcium ions play an important role in various physical and physiological
processes. A vital component of neural signaling is the free calcium ion concentration often …

A modified Euler method for solving fuzzy differential equations under generalized differentiability

N Ahmady, T Allahviranloo, E Ahmady - Computational and Applied …, 2020 - Springer
In this paper, we intend to introduce a modified approach for solving fuzzy differential
equations (FDEs) under generalized differentiability. Modified Euler method estimated FDEs …

Positive or negative solutions to first-order fully fuzzy linear differential equations under generalized differentiability

M Chehlabi, T Allahviranloo - Applied Soft Computing, 2018 - Elsevier
The purpose of this paper is to study solutions to a class of first-order fully fuzzy linear
differential equations from the point of view of generalized differentiability. The article begins …

[PDF][PDF] The fuzzy generalized Taylor's expansion with application in fractional differential equations

A Armand, T Allahviranloo, S Abbasbandy… - Iranian Journal of Fuzzy …, 2019 - ijfs.usb.ac.ir
In this paper, the generalized Taylor's expansion is presented for fuzzy-valued functions. To
achieve this aim, fuzzyfractional mean value theorem for integral, and some properties of …

Solution method for a non-homogeneous fuzzy linear system of differential equations

NA Gasilov, AG Fatullayev, ŞE Amrahov - Applied Soft Computing, 2018 - Elsevier
In this paper, we propose a new solution method to non-homogeneous fuzzy linear system
of differential equations. The coefficients of the considered system are crisp while forcing …

Application of fuzzy ABC fractional differential equations in infectious diseases

F Babakordi, T Allahviranloo - Computational Methods for …, 2024 - cmde.tabrizu.ac.ir
In this paper, for solving the HIV fuzzy mathematical model, it is first transformed into a
system of three nonlinear fuzzy Atangana-Baleanu-Caputo (ABC) fractional differential …

Solving fuzzy differential equations based on the length function properties

T Allahviranloo, M Chehlabi - Soft Computing, 2015 - Springer
In this paper, first, some properties of the length function for fuzzy numbers are introduced
and then they are used for the concept of H-difference on fuzzy number-valued functions …

Multi-step gH-difference-based methods for fuzzy differential equations

L Safikhani, A Vahidi, T Allahviranloo… - Computational and …, 2023 - Springer
The main purpose of this paper is to introduce fuzzy Adams–Bashforth (A–B) and fuzzy
Adams–Moulton (A–M) methods based on the generalized Hukuhara (gH)-differentiability …

An efficient method to solve the fuzzy Crank–Nicolson scheme with application to the groundwater flow problem

N Samarinas, C Tzimopoulos… - Journal of …, 2022 - iwaponline.com
In this paper, we propose a comprehensive methodological framework for solving the fuzzy
groundwater flow problem in a simpler and faster way based on numerical analysis. In …