Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions

Boundary value problems

Anping Chen¹  Yi Chen² 

[1] Department of Mathematics, Xiangnan University, Chenzhou, Hunan, China;School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, China

关键词: Banach Space;    Convex Subset;    Fractional Order;    Fractional Derivative;    Fixed Point Theorem;   

DOI  :  10.1155/2011/516481

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY