一类带积分边值条件的分数阶微分方程多个正解的存在性

Existence of Multiple Positive Solutions for a Class of Fractional Differential Equations with Integral Boundary Value Conditions

运用锥拉伸与压缩不动点定理,在一致分数阶导数的定义下研究了带积分边值条件的分数阶微分方程多个正解的存在性.

In this paper,using the fixed point theorem of Guo-Krasnosellskii's cone expansion and cone compression,the existence of multiple positive solutions of fractional differential equations with integral boundary value conditions are studied under the definition of uniform fractional derivative.