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Issue:Intuitionistic fuzzy Dirichlet problem

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Title of paper: Intuitionistic fuzzy Dirichlet problem
Author(s):
S. Melliani
Department of Mathematics, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
saidmelliani@gmail.com
I. Bakhadach
Department of Mathematics, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
M. Elomari
Department of Mathematics, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
L. S. Chadli
Department of Mathematics, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 72–84
DOI: https://doi.org/10.7546/nifs.2018.24.4.72-84
Download:  PDF (195 Kb  Kb, File info)
Abstract: In the present paper, a new definition of intuitionistic fuzzy derivative is presented, which a generalization of fuzzy fractional derivative and is compatible with the “crisp” definition of fractional derivative. We prove some properties concerning this definition. Finally, the existence of Dirichlet problem is proven.
Keywords: Hukuhara difference, Generalized intuitionistic fuzzy derivative, Intuitionistic fuzzy Caputo fractional derivative, Intuitionistic fuzzy Dirichlet problem.
AMS Classification: 03E72, 34Gxx.
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