一类具有分数阶导数项的分数阶微分方程边值问题多重正解的存在性  

Existence of Solutions for Multi-Point Boundary Value Problems for Fractional Differential Equations

作　　者：刘洋[1,2] 刘志辉[2] 李诚志[1,2] 胡卫敏[3] 

机构地区：[1]新疆大学资源与环境科学学院,新疆乌鲁木齐830046 [2]新疆大学干旱生态环境研究所,新疆乌鲁木齐830046 [3]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《数学的实践与认识》2016年第4期242-249,共8页Mathematics in Practice and Theory

基　　金：国家科技支撑计划项目课题(2012BAC23B01)

摘　　要：研究了一类非线性分数阶微分方程两点边值.其非线性项包含Caputo导数,利用一种推广的双锥不动点定理,得到其多重正解的存在性.In this paper, A class of boundary value problem of fractional differential equation with fractional difference conditions is investigated. It involves the Caputo fractiM derivative in nonlinear terms. By employing a generalized two-cone fixed point theorem, we study the existence of multiple positive solutions for two-point boundary value problem of a class of nonlinear fractional differential equations.

关 键 词：边值问题 不动点定理 格林函数 

分 类 号：O175.8[理学—数学]