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Issue:Stability of intuitionistic fuzzy nonlinear fractional differential equations

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Title of paper: Stability of intuitionistic fuzzy nonlinear fractional differential equations
Author(s):
Said Melliani
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
s.melliani@usms.ma
Ali El Mfadel
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
elmfadelali@gmail.com
Lalla Saadia Chadli
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
sa.chadli@yahoo.fr
M'hamed Elomari
LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco
m.elomari@usms.ma
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 1, pages 83–100
DOI: https://doi.org/10.7546/nifs.2021.27.1.83-100
Download:  PDF (301  Kb, File info)
Abstract: In this paper, we study the existence and uniqueness results of solution for the intuitionistic fuzzy nonlinear fractional differential equations involving the Caputo concepts of fractional derivative. In addition, we establish essentially the Mittag-Leffler stability result for the intuitionistic fuzzy nonlinear fractional differential equations by giving some sufficient criteria to guarantee the stability of the zero solution. Finally, some examples are presented to illustrate the proposed stability theorem.
Keywords: Intuitionistic fuzzy numbers, Intuitionistic fuzzy fractional integral, Intuitionistic fuzzy fractional Caputo derivative, Mittag-Leffler stability
AMS Classification: 34A07
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