Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order

The aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method. Furthermore, the methodology of this approach for solving differential equations of higher order in an intuitionistic fuzzy environment has been proposed in detail. Finally, the paper concludes with two numerical examples to demonstrate the application and efficiency of this method, and we have studied their precision.

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Publication Details

Journal
Notes on Intuitionistic Fuzzy Sets
Published
2025-01-01
DOI
https://doi.org/10.7546/nifs.2025.31.3.267-289
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
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article

Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order

Lalla Saâdia Chadli, Saïd Melliani, Razika Ettoussi
1 links
Notes on Intuitionistic Fuzzy Sets
Fuzzy Systems and Optimization
article

Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order

Lalla Saâdia Chadli, Saïd Melliani, Razika Ettoussi
article en

Abstract

The aim of this work is to introduce the intuitionistic fuzzy Laplace Adomian decomposition method, in which we combine intuitionistic fuzzy Laplace transform with the intuitionistic fuzzy Adomian decomposition method. Furthermore, the methodology of this approach for solving differential equations of higher order in an intuitionistic fuzzy environment has been proposed in detail. Finally, the paper concludes with two numerical examples to demonstrate the application and efficiency of this method, and we have studied their precision.

Notes on Intuitionistic Fuzzy SetsVol. 31(3)
Openalex Percentile: Top 81%
Fuzzy Systems and Optimization
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