CAJ | 학술논문

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D5＋是标准Riemann—I—iouville分数阶导数，且0≤β≤1，0≤α≤1，ξ∈（0，1），αξ≤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。
문장연구료비선성분수계미분방정변치문제 다개정해적존재성문제，기중D5＋시표준Riemann—I—iouville분수계도수，차0≤β≤1，0≤α≤1，ξ∈（0，1），αξ≤1-β，0≤α-β-1，병차근거불동점이론득도기지소유삼개정해적존재성정리。
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