Issue:Evolution problem with intuitionistic fuzzy fractional derivative

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Title of paper: Evolution problem with intuitionistic fuzzy fractional derivative Author(s): M. Elomari Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Said Melliani Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco said.melliani@gmail.com Lalla Saadia Chadli Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Presented at: 20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria Published in: "Notes on IFS", Volume 22, 2016, Number 3, pages 80—90 Download:  PDF (132  Kb, File info) Abstract: 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. Keywords: Generalized intuitionistic fuzzy Hukuhara difference, Generalized intuitionistic fuzzy derivative, generalized intuitionistic fuzzy Caputo-derivative, intuitionistic fuzzy fractional evolution problem. AMS Classification: 03E72 References: 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. Citations: Issue:Intuitionistic fuzzy evolution problem with nonlocal conditions ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.