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Issue:Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order: Difference between revisions

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  | institution    = Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University
  | institution    = Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University
  | address        = Beni Mellal, Morocco
  | address        = Beni Mellal, Morocco
  | email-before-at = saman
  | email-before-at = razika.imi
  | email-after-at  = ulm.ac.id
  | email-after-at  = gmail.com
  | orcid          = 0000-0001-8413-6607
  | orcid          = 0000-0001-8413-6607
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Latest revision as of 11:00, 23 July 2025

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Title of paper: Intuitionistic fuzzy Laplace Adomian decomposition method for solving intuitionistic fuzzy differential equations of higher order
Author(s):
Razika Ettoussi     0000-0001-8413-6607
Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University, Beni Mellal, Morocco
razika.imi@gmail.com
Said Melliani     0000-0002-5150-1185
Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University, Beni Mellal, Morocco
s.melliani@usms.ma
Lalla Saadia Chadli
Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University, Beni Mellal, Morocco
sa.chadli@yahoo.fr
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 3, pages 267–283
DOI: https://doi.org/10.7546/nifs.2025.31.3.267-289
Download:  PDF (375  Kb, File info)
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.
Keywords: Intuitionistic fuzzy solution, Intuitionistic fuzzy number, Intuitionistic fuzzy Laplace Adomian decomposition.
AMS Classification: 34A07, 44A1, 03E72.
References:
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