吉林大学学报（理学版）2018，Vol.56Issue(1)：23-27,5.DOI:10.13413/j.cnki.jdxblxb.2018.01.04
一类具有无穷点积分边界条件非线性分数阶微分方程解的存在性与多解性
Existence and Multiplicity of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite-Point Integral Boundary Conditions
摘要
Abstract
We considered a class of nonlinear fractional differential equations with infinite-point integral boundary conditions .By calculating the Green's function ,we transformed the differential equation into integral equation .On the basis of analysis of the properties of Green's function ,we used the indexed fixed point theorem to obtain the existence and multiplicity of solutions of the boundary value problem .关键词
分数阶微分方程/积分边界条件/Green函数/不动点指数定理Key words
fractional differential equation/integral boundary condition/Green's function/indexed fixed point theorem分类
数理科学引用本文复制引用
耿鑫彪,刘雯..一类具有无穷点积分边界条件非线性分数阶微分方程解的存在性与多解性[J].吉林大学学报（理学版）,2018,56(1):23-27,5.基金项目
国家自然科学基金(批准号:11271154). （批准号:11271154）
