Issue:Intuitionistic fuzzy fractional boundary value problem

{{issue/data | conference     = 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference, 3–7 May 2017, Mersin, Turkey | issue          = "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: $$ \left\{ \begin{array}{lrr} D^{\alpha}X(t)=F(t, X_t, D^{\beta}X(t)) & t\in J:=[0, 1]\\ X(t)=\phi(t)&t\in[-r, 0]\\ X(1)=X(\xi)& \end{array}, \right. $$ where $$D^{\alpha}, D^{\beta}$$ are the standard Riemann--Liouville fractional derivatives (&alpha;&minus;&beta;&gt;0)  and (1&lt;&alpha; &lt; 2), $$(\xi\in[0, 1[)$$,$$F:J \times C_0\times\mathbf{IF}^1 \longrightarrow \mathbf{IF}^1 $$ is an intuitionistic fuzzy function, $$\phi\in C_0$$, $$\phi(0)=0_{IF}$$ and $$C_0=C\left([-r, 0], IF^1\right)$$. We denote by $$X_t$$ the element of $$C_0$$ defined by $$X_t(\theta)=X(t+\theta)$$, $$\theta\in[-r, 0].$$ | keywords       = Intuitionistic fuzzy sets, Distance between intuitionistic fuzzy sets, Intuitionistic fractional derivative. | ams            = 03E72. | references     =
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