Title of paper:
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Evolution problem with intuitionistic fuzzy fractional derivative
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Author(s):
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M. 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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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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said.melliani@gmail.com
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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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Presented at:
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20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria
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Published in:
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"Notes on IFS", Volume 22, 2016, Number 3, pages 80—90
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Download:
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PDF (132 Kb, File info)
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Abstract:
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We introduce the generalized intutionistic fuzzy derivative, this concept used in order to give a generalized intuitionistic fuzzy Caputo fractional derivative. And we descuse the intuitionistic fuzzy fractional evolution problem.
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Keywords:
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Generalized intuitionistic fuzzy Hukuhara difference, Generalized intuitionistic fuzzy derivative, generalized intuitionistic fuzzy Caputo-derivative, intuitionistic fuzzy fractional evolution problem.
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AMS Classification:
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03E72
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References:
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- Allahviranloo, T., Armand, A. & Gouyandeh, Z. (2014) Fuzzy fractional differential equations under generalized fuzzy Caputo derivative, J. Intell. Fuzzy Systems, 26, 1481–1490.
- Allahviranloo, T., Armand, A., Gouyandeh, Z., & Ghadiri, H. (2013) Existence and uniqueness of solutions for fuzzy fractional Volterra-Fredholm integro-differential equations, J. Fuzzy Set Valued Analysis, 2013, 1–9.
- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
- Brezis, H., & Pazy, A. (1972) Convergence and Approximation of Semigroups of Nonlinear Operators in Banach Spaces, J. Funct. Ana., 9, 63–74.
- Debreu, G. (1967) Integration of correspondences. Proc. Fifth Berkeley Syrup. Math. Stat. Probab (Univ. California Press, Berkeley, CA), 2(1), 351–372.
- Komura, Y. (1969) Nonlinear semigroup in Hilbert space, J. Math. Soc. Japan, 21, 375–507.
- Lakshmikantham, V., Leela, S. (1981) Nonlinear Diffrential Equations in Abstract Spaces, Pergamon Press, New York.
- 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) Extension of Hukuhara difference in intuitionistic fuzzy set theory, Notes on Intuitionistic Fuzzy Sets, 21(4), 34–47.
- Puri, M. L., & Ralescu, D. A. (1986) Fuzzy random variables, J. Math. Anal. Appl., 114, 409–422.
- Rådström, H. (1952) An Embedding Theorem for Spaces of Convex Sets, Proc. Amer. Math. Soc., 3, 165–169.
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