| Title of paper:
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Fractional differential equations with intuitionistic fuzzy data
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| Author(s):
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| R. Ettoussi
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| Laboratoire de Mathematiques Appliquees & Calcul Scientifique, Universite Sultan Moulay Slimane, BP 523, 23000 Beni Mellal, Morocco
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| razika.imi@gmail.com
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| L. S. Chadli
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| Laboratoire de Mathematiques Appliquees & Calcul Scientifique, Universite Sultan Moulay Slimane, BP 523, 23000 Beni Mellal, Morocco
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| Presented at:
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3rd International Intuitionistic Fuzzy Sets Conference, 9 Aug – 1 Sep 2016, Mersin, Turkey
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 4, pages 64—74
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| Download:
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 PDF (277 Kb, File info)
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| Abstract:
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The purpose of this paper is to study the existence and uniqueness of solution for fractional differential equation with intuitionistic fuzzy data where the intuitionistic fuzzy fractional derivatives and integral are considered in the Riemann–Liouville sense. Finally we give an example.
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| Keywords:
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Intuitionistic fuzzy number, Fractional differential equations.
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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, Springer Physica-Verlag, Berlin.
- Gelfand, I. M., & Shilvoe, G. E. (1958) Generalized Functions, 1, Moscow.
- Kilbas, A. A., Srivastava, H. M., & Trujillo, J. J. (2006) Theory and Applications of Fractional Differential Equations, Elsevier Science B.V, Amsterdam.
- Shilove, G. E. (1968) Generalized functions and partial differential equations, in Mathematics and its Applications, Science Publishers, Inc.
- Turski, A. J., Atamaniuk, B., & Turska, E. (1984) On the appearance of the fractional derivative in the behavior of real materials, J. Appl. Mechanics, 51, 294–298.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic Fuzzy metric spaces, Notes on intuitionistic Fuzzy sets, 21(1), 43–53.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy Fractional differential equations, Notes on Intuitionistic Fuzzy Sets, 21(4), 76–89.
- Junsheng, D., Jianye, A., & Xu Mingyu (2007) Solution of system of fractional differential equations by Adomian Decomposition Method, Appl. Math. J. Chinese Univ. Ser. B, 22, 7–12.
- Lakshmikantham, V., & Vasundhara Devi, J. (2008) Theory of fractional differential equations in a Banach Space. European Journal of Pure and Applied Mathematics, 1(1), 38–45.
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| Citations:
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