Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions
1 Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China
2 School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China
Boundary Value Problems 2011, 2011:516481 doi:10.1155/2011/516481Published: 14 March 2011
We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.