Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-28T15:13:46Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

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	\| conference = 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey		\| conference = 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/23/1\|"Notes on ~~IFS~~", Volume 23, 2017, Number 1]], pages 31—41		\| issue = [[Notes on Intuitionistic Fuzzy Sets/23/1\|"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 1]], pages 31—41
	\| file = NIFS-23-1-31-41.pdf		\| file = NIFS-23-1-31-41.pdf
	\| format = PDF		\| format = PDF

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2017-05-17T12:50:40Z

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
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{{issue/title
| title = Intuitionistic fuzzy fractional boundary value problem
| shortcut = nifs/23/1/31-41
}}
{{issue/author
| author = Said Melliani
| institution = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
| address = BP 523, 23000 Beni Mellal, Morocco
| email-before-at = said.melliani
| email-after-at = gmail.com
}}
{{issue/author
| author = M. Elomari
| institution = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
| address = BP 523, 23000 Beni Mellal, Morocco
| email-before-at =
| email-after-at =
}}
{{issue/author
| author = A. Elmfadel
| institution = Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University
| address = BP 523, 23000 Beni Mellal, Morocco
| email-before-at =
| email-after-at =
}}
{{issue/data
| conference = 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey
| issue = [[Notes on Intuitionistic Fuzzy Sets/23/1|"Notes on IFS", Volume 23, 2017, Number 1]], pages 31—41
| file = NIFS-23-1-31-41.pdf
| format = PDF
| size = 157 Kb
| abstract = In this paper we investigate the existence and uniquness of intuitionistic fuzzy solution for three-point boundary value problem for fractional differential equation:
<math> \left\{ \begin{array}{lrr}
D^{\alpha}X(t)=F(t, X_t, D^{\beta}X(t)) & t\in J:=[0, 1]\\
X(t)=\phi(t)&t\in[-r, 0]\\
X(1)=X(\xi)&
\end{array}, \right.
</math>
where <math>D^{\alpha}, D^{\beta}</math> are the standard Riemann--Liouville fractional derivatives (α−β>0) and (1<α < 2), <math>(\xi\in[0, 1[)</math>,<math>F:J \times C_0\times\mathbf{IF}^1 \longrightarrow \mathbf{IF}^1 </math> is an intuitionistic fuzzy function, <math>\phi\in C_0</math>, <math>\phi(0)=0_{IF}</math> and <math>C_0=C\left([-r, 0], IF^1\right)</math>. We denote by <math>X_t</math> the element of <math>C_0</math> defined by <math>X_t(\theta)=X(t+\theta)</math>, <math>\theta\in[-r, 0].</math>
| keywords = Intuitionistic fuzzy sets, Distance between intuitionistic fuzzy sets, Intuitionistic fractional derivative.
| ams = 03E72.
| references =
# Bede, B., & Gal, S. G. (2005). Generalizations of the differentiability of fuzzy-numbervalued functions with applications to fuzzy differential equations. Fuzzy Sets and Systems, 151, 581–599.
# Kilbas, A. A. A., Srivastava, H. M., & Trujillo, J. J. (2006). Theory and Applications of Fractional Sifferential Equations, North-Holland Mathematical studies 204, Ed van Mill, Amsterdam.
# Melliani, S., Elomari, M. Chadli, L. S., & Ettoussi, R. (2015). Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
# Salahshour, S., Allahviranloo, T., Abbasbandy, S., & Baleanu, D. (2012). Existence and uniqueness results for fractional differential equations with uncertainty. Adv. Diff. Equ., 112, doi:10.1186/1687-1847-2012-112.

| citations =
| see-also =
}}

Issue:Intuitionistic fuzzy fractional boundary value problem - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."