| Title of paper:
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Solution of intuitionistic fuzzy differential equations by successive approximations method
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| Author(s):
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| Razzika Ettoussi
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Said Melliani
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| M'hamed Elomari
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Lalla Saadia Chadli
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 2, pages 51—62
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| Download:
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 PDF (188 Kb, Info)
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| Abstract:
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In this paper, we discuss the existence and uniqueness of a solution of the intuitionistic fuzzy differential equation using the method of successive approximation
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| Keywords:
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Levelwise continuous, Intuitionistic fuzzy solution.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets : Theory and Applications, Springer Physica-Verlag, Heidelberg.
- 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.
- Bradley M & Datko R. (1977) Some analytic and measure theoretic properties of set-valued mappings SIAM J. Control Optim., 15, 625–635.
- Kaleva, O. (1990) The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems, 35, 389–396.
- Melliani, S., Elomari, M., Chadli, L. S. & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Melliani, S., Ettoussi R., M., Chadli, L. S. & Elomari, M. Intuitionistic Fuzzy Differential Equations (submitted to Notes on Intuitionistic Fuzzy Sets)
- Castaing, C., & Valadier, M. (1977) Convex Analysis and Measurable Multifunctions, Springer, Berlin.
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| Citations:
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- BISWAS, SUVANKAR, and TAPAN KUMAR ROY. "APPLICATION OF INTUITIONISTIC DIFFERENTIAL TRANSFORMATION METHOD TO SOLVE INTUITIONISTIC FUZZY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION." International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 141-149.
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