Vassia Atanassova: Category:Publications of M'hamed El Omari

2024-10-11T15:45:54Z

Category:Publications of M'hamed El Omari

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			[[Category:Publications of M'hamed El Omari]]

Vassia Atanassova at 19:30, 26 June 2021

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	\| author = ~~M’hamed~~ Elomari		\| author = M'hamed Elomari
	\| institution = LMACS, Sultan Moulay Slimane University		\| institution = LMACS, Sultan Moulay Slimane University
	\| address = BP 523, 23000, Beni Mellal, Morocco		\| address = BP 523, 23000, Beni Mellal, Morocco

Peter Vassilev at 21:19, 25 June 2021

2021-06-25T21:19:20Z

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	\| file = NIFS-27-1-83-100.pdf		\| file = NIFS-27-1-83-100.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~280~~		\| size = 301
	\| 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.		\| 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		\| keywords = Intuitionistic fuzzy numbers, Intuitionistic fuzzy fractional integral, Intuitionistic fuzzy fractional Caputo derivative, Mittag-Leffler stability

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2021-06-25T20:36:08Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
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{{issue/title
| title = Stability of intuitionistic fuzzy nonlinear fractional differential equations
| shortcut = nifs/27/1/83-100
}}
{{issue/author
| author = Said Melliani
| institution = LMACS, Sultan Moulay Slimane University
| address = BP 523, 23000, Beni Mellal, Morocco
| email-before-at = s.melliani
| email-after-at = usms.ma
}}
{{issue/author
| author = Ali El Mfadel
| institution = LMACS, Sultan Moulay Slimane University
| address = BP 523, 23000, Beni Mellal, Morocco
| email-before-at = elmfadelali
| email-after-at = gmail.com
}}
{{issue/author
| author = Lalla Saadia Chadli
| institution = LMACS, Sultan Moulay Slimane University
| address = BP 523, 23000, Beni Mellal, Morocco
| email-before-at = sa.chadli
| email-after-at = yahoo.fr
}}
{{issue/author
| author = M’hamed Elomari
| institution = LMACS, Sultan Moulay Slimane University
| address = BP 523, 23000, Beni Mellal, Morocco
| email-before-at = m.elomari
| email-after-at = usms.ma
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/27/1|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
| file = NIFS-27-1-83-100.pdf
| format = PDF
| size = 280
| 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 = 34A07
| references =

# Agarwal, R. P., Lakshmikantham, V., & Nieto, J. J. (2010). On the concept of solution for fractional differential equations with uncertainty. Nonlinear Analysis: Theory, Methods & Applications, 72(6), 2859–2862.
# Agarwal, R., O’Regan, D., & Hristova, S. (2015). Stability of Caputo fractional differential equations by Lyapunov functions. Applications of Mathematics, 60, 653–676.
# Alikhani, R., & Bahrami, F. (2013). Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations. Communications in Nonlinear Science and Numerical Simulation, 18(8), 2007–2017.
# Allahviranloo, T., Armand, A., & Gouyandeh, Z. (2014). Fuzzy fractional differential equations under generalized fuzzy Caputo derivative. Journal of Intelligent and Fuzzy Systems, 26(3), 1481–1490.
# Arshad, S., & Lupulescu, V. (2011). On the fractional differential equations with uncertainty. Nonlinear Analysis: Theory, Methods & Applications, 74(11), 3685–3693.
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Bede, B. (2005). Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Sets and Systems, 151(3), 581–599.
# Burton, T. A., & Zhang, B. (2012). Fractional equations and generalizations of Schaefer’s and Krasnoselskii’s fixed point theorems. Nonlinear Analysis: Theory, Methods & Applications, 75(18), 6485–6495.
# Diethelm, K., & Ford, N. J. (2002). Analysis of fractional differential equations. Journal of Mathematical Analysis and Applications, 265(2), 229–248.
# Elomari, M., Melliani, S., & Chadli, L. S. (2016). Solution of intuitionistic fuzzy fractional differential equations. Annals of Fuzzy Mathematics and Informatics, 13(3), 379–391.
# Hoa, N. V., Lupulescu, V., & O’Regan, D. (2018). A note on initial value problems for fractional fuzzy differential equations. Fuzzy Sets and Systems, 347, 54–69.
# Kilbas, A., Srivastava, M., & Trujillo, J. (2006). Theory and Applications of Fractional Differential Equations. North-Holland Mathematical Studies, Vol. 204, Ed van Mill, Amsterdam.
# Li, C. P., Zhang, F. R. (2011). A survey on the stability of fractional differential equations. The European Physical Journal Special Topics, 193, 27–47.
# Li, Y., Chen, Y. Q., & Podlubny, I. (2009). Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica, 45, 1965–1969.
# Li, Y., Chen, Y., & Podlubny, I. (2010). Lyapunov direct method and generalized Mittag-Leffler stability. Computers & Mathematics with Applications, 59(5), 1810–1821.
# Liu, K. W., & Jiang, W. (2011). Finite-time stability of linear fractional order neutral systems. Mathematica Applicata, 24, 724–730.
# Matignon, D. (1996). Stability results for fractional differential equations with applications to control processing. In: IMACS-SMC, Lille, France, 963–968.
# Melliani, S., Elomari, M., Chadli, L.S., & Ettoussi, R. (2015). [[Issue:Extension of Hukuhara difference in intuitionistic fuzzy set theory|Extension of Hukuhara difference in intuitionistic fuzzy set theory]]. Notes on Intuitionistic Fuzzy Sets, 21(4), 34–47.
# Melliani, S., Elomari, M., Chadli, L.S., & Ettoussi, R. (2015). [[Issue:Intuitionistic fuzzy fractional equation|Intuitionistic fuzzy fractional equation]]. Notes on Intuitionistic Fuzzy Sets, 21(4), 76–89.
# Momani, S., & Hadid, S. (2004). Lyapunov stability solutions of fractional integrodifferential equations. International Journal of Mathematics and Mathematical Sciences, 47, Article ID 575670, 2503–2507.
# Salahshour, S., Allahviranloo, T., Abbasbandy, S., & Baleanu, D. (2012). Existence and uniqueness results for fractional differential equations with uncertainty. Advances in Difference Equations, 2012, Art. No. 112.
# Schauder, J. (1930). Der Fixpunktsatz in Funktionalraumen, ¨ Studia Mathematica, 2(1), 171–180.
# Schwartz, L. (1997). Analyse I, Theorie des Ensembles et Topologie, Hermann Editeurs, Paris, pp. 346.
# Weissinger, J. (1952). Zur Theorie und Anwendung des Iterationsverfahrens. Mathematische Nachrichten, 8(1), 193–212.
# Xu, Z. S., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 35(4), 417–433.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–356.

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Issue:Stability of intuitionistic fuzzy nonlinear fractional differential equations - Revision history

Vassia Atanassova: Category:Publications of M'hamed El Omari

Vassia Atanassova at 19:30, 26 June 2021

Peter Vassilev at 21:19, 25 June 2021

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."