四川大学学报（自然科学版）2017，Vol.54Issue(1)：29-34,6.DOI:103969/j.issn.0490-6756.2017.01.005
一类半线性分数阶微分方程解的存在性
Existence of solutions to a class of semilinear fractional differential equations
摘要
Abstract
In this paper,based on the Schauder fixed point theorem,we consider existence of the solutions for a class of two-term fractional initial boundary value problem:cDαtu(t) + λcDβtu(t) =f,(t,u(t)),0＜t≤h,u(0) =x0,u'(0) =y0where α∈(1,2],α＞β＞0,and the fractional derivative is in the sense of Caputo.Our results improve some recent results.关键词
分数阶微分方程/Caputo导数/Schauder不动点定理Key words
Fractional differential equations/Caputo fractional derivatives/Schauder fixed point theorem分类
数理科学引用本文复制引用
郑荟萃,李淼..一类半线性分数阶微分方程解的存在性[J].四川大学学报（自然科学版）,2017,54(1):29-34,6.基金项目
国家自然科学基金(11371263) （11371263）
