TY - JOUR AU - Baleanu, Dumitru AU - Rezapour, Shahram AU - Salehi, Saeid PY - 2015 DA - 2015/08/06 TI - On the existence of solutions for a fractional finite difference inclusion via three points boundary conditions JO - Advances in Difference Equations SP - 242 VL - 2015 IS - 1 AB - In this paper, we discussed the existence of solutions for the fractional finite difference inclusion $\Delta^{\nu}x(t)\in F(t,x(t),\Delta x(t),\Delta^{2} x(t))$via the boundary value conditions $\xi x(\nu-3)+\beta\Delta x(\nu -3)=0$, $x(\eta)=0$, and $\gamma x(b+\nu)+\delta\Delta x(b+\nu)=0$, where $\eta\in\mathbb{N}_{\nu-2}^{b+\nu-1}$, $2<\nu<3$, and $F:\mathbb {N}_{\nu-3}^{b+\nu+1}\times\mathbb{R}\times\mathbb{R}\times\mathbb {R}\to2^{\mathbb{R}} $is a compact valued multifunction. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0559-7 DO - 10.1186/s13662-015-0559-7 ID - Baleanu2015 ER -