吉林大学学报（理学版）2017，Vol.55Issue(6)：1359-1366,8.DOI:10.13413/j.cnki.jdxblxb.2017.06.03
一类分数阶边值问题解的存在性
Existence of Solutions for a Class of Fractional Boundary Value Problems
摘要
Abstract
By applying the least action principle and saddle point theorem and introducing a class of control functions,we considered the following fractional differential system with Dirichlet boundary value condition{- d/dt(1/20D -β (u′(t))+1/2tD -βT (u′(t)) =?F (t,u(t)), a.e.t ∈ [0,T],u(0)=0, u(T)=0 and obtained the existence of solutions for the above problem.关键词
分数阶边值问题/鞍点定理/极小作用原理Key words
fractional boundary value problem/saddle point theorem/least action principle分类
数理科学引用本文复制引用
李姗姗,陈梦霞,王智勇..一类分数阶边值问题解的存在性[J].吉林大学学报（理学版）,2017,55(6):1359-1366,8.基金项目
国家自然科学基金(批准号:11026213 （）
11571176). （）
