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Issue:Solution of intuitionistic fuzzy differential equations by successive approximations method: Difference between revisions

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  | author          = M. Elomari
  | author          = S. Melliani
  | institution    = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
  | institution    = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
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  | address        =  BP 523, 23000 Beni Mellal, Morocco
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  | author          = S. Melliani
  | author          = M. Elomari
  | institution    = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
  | institution    = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
  | address        =  BP 523, 23000 Beni Mellal, Morocco
  | address        =  BP 523, 23000 Beni Mellal, Morocco
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  | author          = L. S. Chadli
  | author          = L. S. Chadli

Revision as of 10:11, 2 June 2015

shortcut
http://ifigenia.org/wiki/issue:nifs/21/2/51-62
Title of paper: Solution of intuitionistic fuzzy differential equations by successive approximations method
Author(s):
R. Ettoussi
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco


S. Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
M. Elomari
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
L. S. Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Published in: "Notes on IFS", Volume 21, 2015, Number 2, pages 51—62
Download:  PDF (188  Kb, Info)
Abstract: In this paper, we discuss the existence and uniqueness of a solution of the intuitionistic fuzzy differential equation using the method of successive approximation
Keywords: Levelwise continuous, Intuitionistic fuzzy solution.
AMS Classification: 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. Atanassov, K. T., Vassilev, P. M., & Tsvetkov, R. T. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia.
  4. Bradley M & Datko R. (1977) Some analytic and measure theoretic properties of set-valued mappings SIAM J. Control Optim., 15, 625–635.
  5. Kaleva, O. (1990) The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems, 35, 389–396.
  6. Melliani, S., Elomari, M., Chadli, L. S. & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
  7. Melliani, S., Ettoussi R., M., Chadli, L. S. & Elomari, M. Intuitionistic Fuzzy Differential Equations (submitted to Notes on Intuitionistic Fuzzy Sets)
  8. Castaing, C., & Valadier, M. (1977) Convex Analysis and Measurable Multifunctions, Springer, Berlin.
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