Author/Authors :
Zhigang، Hu نويسنده China University of Mining and Technology , , Wenbin، Liu نويسنده China University of Mining and Technology , , Taiyong، Chen نويسنده China University of Mining and Technology ,
Abstract :
In this paper, by using the coincidence degree theory, we consider the following two-point boundary value problem for fractional differential equation
{D?,0+ x(t) = f (t,x(t),xʹ(t)), t ? [0,1],
{x(0) = 0,xʹ(0) = xʹ(1),
where Da,0+ denotes the Caputo fractional differential operator of order ?, 1 < ? ? 2. A new result on the existence of solutions for above fractional boundary value problem is obtained.