| 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 Intuitionistic Fuzzy Sets", 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:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
