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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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# 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.  

Revision as of 21:17, 25 December 2018

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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 IFS", 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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  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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  18. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy fractional equation, Notes on Intuitionistic Fuzzy sets, 21 (4), 76–89.
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