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Issue:Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method: Difference between revisions

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  | title          = Solution of ''n''-th order intuitionistic fuzzy differential equation by variational iteration method
  | title          = Solution of ''n''-th order intuitionistic fuzzy differential equation by variational iteration method
  | shortcut        = nifs/24/3/27-39
  | shortcut        = nifs/24/3/92-105
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| conference      =  International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/24/3|"Notes on Intuitionistic Fuzzy Sets", Volume 24, 2018, Number 3]], pages 92—105
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/24/3|"Notes on IFS", Volume 24, 2018, Number 3]], pages 27—39
  | file            = NIFS-24-3-092-105.pdf
  | file            = NIFS-24-3-027-039.pdf
| doi            = https://doi.org/10.7546/nifs.2018.24.3.92-105
  | format          = PDF
  | format          = PDF
  | size            = 194
  | size            = 206
  | abstract        = In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve ''n''-th order intuitionistic fuzzy differential equations with intuitionistic fuzzy initial conditions. Several numerical examples are given to illustrate the efficiency of the presented method.
  | abstract        = In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve ''n''-th order intuitionistic fuzzy differential equations with intuitionistic fuzzy initial conditions. Several numerical examples are given to illustrate the efficiency of the presented method.
  | keywords        = Intuitionistic fuzzy number, Intuitionistic fuzzy differential equation, Variational iteration method.
  | keywords        = Intuitionistic fuzzy number, Intuitionistic fuzzy differential equation, Variational iteration method.
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# Atanassov, K. T. (1994) Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174.  
# Atanassov, K. T. (1994) Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174.  
# Ben Amma, B., Melliani, S., & Chadli, L. S. (2016) [[Issue:Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods|Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods]], Notes on Intuitionistic Fuzzy Sets, 22 (2), 71–86.  
# Ben Amma, B., Melliani, S., & Chadli, L. S. (2016) [[Issue:Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods|Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods]], Notes on Intuitionistic Fuzzy Sets, 22 (2), 71–86.  
# Ben Amma, B., Melliani, S., & Chadli, L. S., (2016) [[Issue: Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method|]], Notes on Intuitionistic Fuzzy Sets, 22 (3), 47–69.  
# Ben Amma, B., Melliani, S., & Chadli, L. S., (2016) [[Issue:Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method|Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method]], Notes on Intuitionistic Fuzzy Sets, 22 (3), 47–69.  
# Ben Amma, B. & Chadli, L. S. (2016) [[Issue:Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four|Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four]], Notes on Intuitionistic Fuzzy Sets, 22 (4), 42–52.  
# Ben Amma, B. & Chadli, L. S. (2016) [[Issue:Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four|Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four]], Notes on Intuitionistic Fuzzy Sets, 22 (4), 42–52.  
# Ben Amma, B., Melliani, S., & Chadli, L. S. (2018) [[Issue:The Cauchy problem for intuitionistic fuzzy differential equations|The Cauchy problem for intuitionistic fuzzy differential equations]], Notes on Intuitionistic Fuzzy Sets, 24 (1), 37–47.  
# Ben Amma, B., Melliani, S., & Chadli, L. S. (2018) [[Issue:The Cauchy problem for intuitionistic fuzzy differential equations|The Cauchy problem for intuitionistic fuzzy differential equations]], Notes on Intuitionistic Fuzzy Sets, 24 (1), 37–47.  

Latest revision as of 11:02, 29 August 2024

shortcut
http://ifigenia.org/wiki/issue:nifs/24/3/92-105
Title of paper: Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method
Author(s):
Said Melliani
Department of Mathematics, Sultan Moulay Slimane University, LMACS, Laboratoire de Math´ematiques Appliqu´ees & Calcul Scientifique, PO Box 523, 23000 Beni Mellal, Morocco
saidmelliani@gmail.com
H. Atti
Department of Mathematics, Sultan Moulay Slimane University, LMACS, Laboratoire de Math´ematiques Appliqu´ees & Calcul Scientifique, PO Box 523, 23000 Beni Mellal, Morocco
B. Ben Amma
Department of Mathematics, Sultan Moulay Slimane University, LMACS, Laboratoire de Math´ematiques Appliqu´ees & Calcul Scientifique, PO Box 523, 23000 Beni Mellal, Morocco
Lalla Saadia Chadli
Department of Mathematics, Sultan Moulay Slimane University, LMACS, Laboratoire de Math´ematiques Appliqu´ees & Calcul Scientifique, PO Box 523, 23000 Beni Mellal, Morocco
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 24, 2018, Number 3, pages 92—105
DOI: https://doi.org/10.7546/nifs.2018.24.3.92-105
Download:  PDF (206  Kb, File info)
Abstract: In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve n-th order intuitionistic fuzzy differential equations with intuitionistic fuzzy initial conditions. Several numerical examples are given to illustrate the efficiency of the presented method.
Keywords: Intuitionistic fuzzy number, Intuitionistic fuzzy differential equation, Variational iteration method.
AMS Classification: 03E72, 34A07.
References:
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  2. Atanassov, K. (1983) Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
  3. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1), 87–96.
  4. Atanassov, K. T. (1994) Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174.
  5. Ben Amma, B., Melliani, S., & Chadli, L. S. (2016) Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods, Notes on Intuitionistic Fuzzy Sets, 22 (2), 71–86.
  6. Ben Amma, B., Melliani, S., & Chadli, L. S., (2016) Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method, Notes on Intuitionistic Fuzzy Sets, 22 (3), 47–69.
  7. Ben Amma, B. & Chadli, L. S. (2016) Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four, Notes on Intuitionistic Fuzzy Sets, 22 (4), 42–52.
  8. Ben Amma, B., Melliani, S., & Chadli, L. S. (2018) The Cauchy problem for intuitionistic fuzzy differential equations, Notes on Intuitionistic Fuzzy Sets, 24 (1), 37–47.
  9. Ben Amma, B., Melliani, S., & Chadli, L. S. (2018) Intuitionistic Fuzzy Functional Differential Equations, Fuzzy Logic in Intelligent System Design: Theory and Applications, P. Melin, O. Castillo, J. Kacprzyk, M. Reformat, W. Melek, Ed. Cham: Springer International Publishing, 335–357.
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  17. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21 (1), 43–53.
  18. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy fractional equation, Notes on Intuitionistic Fuzzy sets, 21 (4), 76–89.
  19. Melliani, S., Elomari, M., Atraoui, M., & Chadli, L. S. (2015) Intuitionistic fuzzy differential equation with nonlocal condition, Notes on Intuitionistic Fuzzy sets, 21 (4), 58–68.
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