Existence of solutions for a four-point boundary value problem of a nonlinear fractional differential equation

Opuscula Mathematica

Xiaoyan Dou¹  Ping Liu¹  Yongkun Li¹ 

[1] Yunnan University, Department of Mathematics, Kunming, Yunnan 650091, P.R. China;

关键词: four-point boundary value problem;    Riemann-Liouville fractional derivative;    Green's function;    Schauder fixed-point theorem;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2011.31.3.359

来源: DOAJ

【 摘 要 】

In this paper, we discuss a four-point boundary value problem for a nonlinear differential equation of fractional order. The differential operator is the Riemann-Liouville derivative and the inhomogeneous term depends on the fractional derivative of lower order. We obtain the existence of at least one solution for the problem by using the Schauder fixed-point theorem. Our analysis relies on the reduction of the problem considered to the equivalent Fredholm integral equation.

【 授权许可】

Unknown