TY - JOUR
T1 - Some existence results on nonlinear fractional differential equations
JF - Philosophical Transactions of the Royal Society A: Mathematical,
Physical and Engineering Sciences
JO - Philos Transact A Math Phys Eng Sci
M3 - 10.1098/rsta.2012.0144
VL - 371
IS - 1990
AU - Baleanu, Dumitru
AU - Rezapour, Shahram
AU - Mohammadi, Hakimeh
Y1 - 2013/05/13
UR - http://rsta.royalsocietypublishing.org/content/371/1990/20120144.abstract
N2 - In this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for the nonlinear fractional differential equation boundary-value problem Dαu(t)=f(t,u(t)) with a Riemann–Liouville fractional derivative via the different boundary-value problems u(0)=u(T), and the three-point boundary condition u(0)=β1u(η) and u(T)=β2u(η), where T>0, t∈I=[0,T], 0<α<1, 0<η<T, 0<β1<β2<1.
ER -