Approximate solution of intuitionistic fuzzy differential equations with the linear differential operator by the homotopy analysis method
type: Item
instance of: scholarly article
title: Approximate solution of intuitionistic fuzzy differential equations with the linear differential operator by the homotopy analysis method
zbMATH Open document ID: 1497.34005
DOI: 10.1155/2021/5579669
author: Said Melliani
author: Mhamed Elomari
author: L. S. Chadli
author: Zineb Belhallaj
published in: Advances in Fuzzy Systems
publication date: 2022-11-03T00:00:00Z
review text: Summary: In this work, the purpose is to discuss the homotopy analysis method (HAM) for the use of intuitionistic fuzzy differential equations with the linear differential operator. Furthermore, a numerical example is presented to shed light on the capability of the present method, and the numerical results illustrated by adopting the homotopy perturbation method (HPM) are compared with the exact solution to ensure the validity of our outcomes.
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 7611751
Wikidata QID: Q115243686
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5579669
OpenAlex ID: W3183851866
cites work: Intuitionistic fuzzy sets
cites work: Operators over interval valued intuitionistic fuzzy sets
cites work: Fuzzy sets
cites work: Q4686410
cites work: Q4689278
cites work: Solving fuzzy differential equations by differential transformation method
cites work: Q6162467
cites work: Q4686421
cites work: Numerical solutions of fuzzy differential and integral equations
cites work: Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets
cites work: Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach
cites work: Q3432239
cites work: Homotopy analysis method: A new analytic method for nonlinear problems.
cites work: Approximate solutions, existence, and uniqueness of the Cauchy problem of fuzzy differential equations
cites work: Solving solitary waves with discontinuity by means of the homotopy analysis method
cites work: On the explicit, purely analytic solution of von Kármán swirling viscous flow
cites work: First order linear fuzzy differential equations under generalized differentiability
description: scientific article; zbMATH DE number 7611751