Approximate Solution of Intuitionistic Fuzzy Differential Equations with the Linear Differential Operator by the Homotopy Analysis Method | Zendy

Saïd Melliani | Zendy; Zineb Belhallaj | Zendy; M’hamed Elomari | Zendy; L. S. Chadli | Zendy

Open Access

Approximate Solution of Intuitionistic Fuzzy Differential Equations with the Linear Differential Operator by the Homotopy Analysis Method

Author(s) -

Saïd Melliani,

Zineb Belhallaj,

M’hamed Elomari,

L. S. Chadli

Publication year - 2021

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2021/5579669

Subject(s) - homotopy analysis method , homotopy perturbation method , mathematics , operator (biology) , work (physics) , fuzzy logic , homotopy , numerical analysis , mathematical analysis , computer science , pure mathematics , physics , artificial intelligence , biochemistry , chemistry , repressor , transcription factor , gene , thermodynamics

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.

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