一类非线性分数阶微分方程边值问题多个正解的存在性

The Existence of Multiple Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equations

文章研究了非线性分数阶微分方程边值问题多个正解的存在性问题,其中Dδ_+是标准Riernann-Liouville分数阶导数,且0≤β≤1,0≤α≤1,ξ∈(0,1),αξ^(α-β-2)≤1-β,0≤α-β-1,并且根据不动点理论得到其至少有三个正解的存在性定理。

We study the existence on multiple positive solutions for the nonlinear fractional differential equation boundary value problem Where D;＋ is the standard Riemann-- Liouvill differentiationand 0≤β≤1,0≤α≤1,ξ∈（0,1）,αξ≤1-β,0≤α-β-1. By applying fixed--point theorems, we obtain the existence theorem of triple positive solutions for nonlin- ear fractional differential equations