WASET
	%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