%0 Journal Article %A Meng Hu and Lili Wang %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 49, 2011 %T Existence of Solutions for a Nonlinear Fractional Differential Equation with Integral Boundary Condition %U https://publications.waset.org/pdf/15513 %V 49 %X This paper deals with a nonlinear fractional differential equation with integral boundary condition of the following form: Dαt x(t) = f(t, x(t),Dβ t x(t)), t ∈ (0, 1), x(0) = 0, x(1) = 1 0 g(s)x(s)ds, where 1 < α ≤ 2, 0 < β < 1. Our results are based on the Schauder fixed point theorem and the Banach contraction principle. %P 55 - 58