Title of paper:
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The Cauchy problem for intuitionistic fuzzy differential equations
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Author(s):
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Bouchra Ben Amma
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Laboratory of Applied Mathematics and Scientific Competing (LMACS), Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco
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bouchrabenamma@gmail.com
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Said Melliani
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Laboratory of Applied Mathematics and Scientific Competing (LMACS), Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco
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s.melliani@yahoo.fr
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Lalla Saadia Chadli
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Laboratory of Applied Mathematics and Scientific Competing (LMACS), Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco
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sa.chadli@yahoo.fr
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Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 37–47
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Download:
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PDF (186 Kb Kb, File info)
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Abstract:
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In this paper we discuss the existence and uniqueness theorem of a solution of the cauchy problem of intuitionistic fuzzy differential equation.
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Keywords:
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Intuitionistic fuzzy differential equations, Approximate solutions, Existence, Uniqueness.
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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(1), 87–96.
- Atanassov, K. (1994) Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174.
- De, S. K., Biswas, R., & Roy, A. R. (2001) An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117(2), 209–213.
- El Allaoui, A., Melliani, S., & Chadli, L.S. (2016) The Cauchy problem for complex intuitionistic fuzzy differential equations, Notes on Intuitionistic Fuzzy Sets, 22(4), 53–63.
- Kharal, A. (2009) Homeopathic drug selection using intuitionistic fuzzy sets, Homeopathy, 98(1), 35–39.
- Lakshmikantham, V., & Leela, S. (1969) Differential and Integral Inequalities, Vols. I and II, Academic Press, New York.
- Li, D.F. & Cheng, C. T. (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognit. Lett., 23(1–3), 221–225.
- Li, D. F. (2005) Multiattribute decision making models and methods using intuitionistic fuzzy sets, J. Comput. Syst. Sci., 70, 73–85.
- Klement, E. P., Puri, M. L., & Ralescu, D. A. (1986) Limit Theorems for Fuzzy Random Variables, Proc. R. Soc. Lond. A, 407, 171–182.
- Melliani, S., & Chadli, L. S. (2000) Intuitionistic fuzzy differential equation. Part 1, Notes on Intuitionistic Fuzzy Sets, 6(2), 37–41.
- 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., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy fractional equation, Notes on Intuitionistic Fuzzy Sets, 21(4), 76–89.
- Wu, C., & Song, S. (1996) Approximate Solutions, Existence, and Uniqueness of the Cauchy Problem of Fuzzy Differential Equations, Journal Of Mathematical Analysis And Applications, 202, 629–644.
- Zadeh, L. A. (1965) Fuzzy sets, Inf. Control, 8, 338–353.
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