Approximate Solution of Intuitionistic Fuzzy Differential Equations with the Linear Differential Operator by the Homotopy Analysis Method. (15th July 2021)

• Record Type: Journal Article
• Authors: Melliani, S.; Belhallaj, Z.; Elomari, M.; Chadli, L. S.
• Other Names: Pai Ping-Feng Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2021(2021)
• Publication Date: 2021-07-15
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2021/5579669
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : 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.