一类Riemann-Liouville分数阶微分方程的三点边值问题

The Boundary Value Problem for a Class of Riemann-Liouville Fractional Differential Equations

探讨一类Riemann-Liouville分数阶微分方程的三点边值问题,利用Riemann-Liouville分数阶微积分以及Green函数的性质,得出当2<α≤3时一类分数阶微分方程三点边值问题解的唯一性和存在性,并且给出了微分方程解的具体表达式.

This paper discusses a class of Riemann- Liouville fractional differential equations for three point boundary value problem. By using the definition and nature of the Riemann- Liouville fractional calculus,the uniqueness and the existence are obtained for a class of Fractional Differential Equations. The paper also gives the Green＇s function of Differential Equations.