Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com

Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:Approximate solution of intuitionistic fuzzy differential equations by using Picard's method

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 11:47, 11 May 2018 by Peter Vassilev (talk | contribs) (Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/24/2/52-62
Title of paper: Approximate solution of intuitionistic fuzzy differential equations by using Picard's method
Author(s):
R. Ettoussi
Sultan Moulay Slimane University, Laboratory of Applied Mathematics and Scientific Computing, Department of Mathematics, Beni Mellal, Morocco
razika.imi@gmail.com
S. Melliani
Sultan Moulay Slimane University, Laboratory of Applied Mathematics and Scientific Computing, Department of Mathematics, Beni Mellal, Morocco
saidmelliani@gmail.com
L. S. Chadli
Sultan Moulay Slimane University, Laboratory of Applied Mathematics and Scientific Computing, Department of Mathematics, Beni Mellal, Morocco
sa.chadli@yahoo.fr
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 52–62
DOI: https://doi.org/10.7546/nifs.2018.24.2.52-62
Download:  PDF (216 Kb  Kb, Info)
Abstract: Our main result in this paper is to find the power series solution of an intuitionistic fuzzy differential equation [math]\displaystyle{ x'(t) = f(t, x(t)), x({t_0}) = {x_0} }[/math] by using successive approximation method and we prove that the approximate solution converge uniformly in t to the exact solution. Finally, we illustrate this result with a numerical example.
Keywords: Intuitionistic fuzzy solution, Intuitionistic fuzzy number, Picard's iterative method.
AMS Classification: 34A07, 03E72
References:
  1. Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
  2. Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
  3. Ettoussi, R., Melliani, S., & Chadli, L. S. (2017) Differential equation with intuitionistic fuzzy parameters, Notes on Intuitionistic Fuzzy Sets, 23(4), 46–61.
  4. Ettoussi, R., Melliani, S., Elomari, M., & Chadli, L. S. (2015) Solution of intuitionistic fuzzy differential equations by successive approximations method, Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62.
  5. Keyanpour, M., & Akbarian, T. (2014) Solving Intuitionistic Fuzzy Nonlinear Equations, Journal of Fuzzy Set Valued Analysis, 2014, 1–6.
  6. Melliani, S., & Chadli, L. S. (2001) Introduction to intuitionistic fuzzy partial differential Equations, Notes on Intuitionistic Fuzzy Sets, 7(3), 39–42.
  7. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic Fuzzy metric spaces, Notes on intuitionistic Fuzzy Sets, 21(1), 43–53.
  8. Zadeh, L. A. (1965) Fuzzy set, Information and Control, 8(3), 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.