Existence of the solutions for a class of nonlinear fractional order three-point boundary value problems with resonance
School of Mathematics and Physics, School of Nuclear Science and Technology, University of South China, Hengyang, 421001, P.R. China
Boundary Value Problems 2012, 2012:68 doi:10.1186/1687-2770-2012-68Published: 1 July 2012
A class of nonlinear fractional order differential equation
is investigated in this paper, where is the standard Riemann-Liouville fractional derivative of order , , . Using intermediate value theorem, we obtain a sufficient condition for the existence of the solutions for the above fractional order differential equations.