中北大学学报（自然科学版）2011，Vol.32Issue(1)：84-86,3.DOI:10.3969/j.issn.1673-3193.2011.01.025
分数阶微分方程连续解的存在性定理
The Theorem of Existence of Continuous Solution for a Fractional Differential Equation
摘要
Abstract
The existence of continuous solutions of the more generalized fractional differential equations was studied. When the involved functions of differential equations satisfy the condition ∣f(t,u)—f(t,v) ∣≤λ(t)h(r), the differential equation is equivalent to the integral equation. By defining the operator and using Schander fixed point theorem, the continuous existence theorem was proved. When λ(t) is a constant, the condition becomes a Osgood condition, then the existence theorem of the classical Osgood conditions extends to more generalized fractional differential equations.关键词
Riemann-Liouville分数阶微积分/微分方程/存在性Key words
Riemann-Liouville fraction integral and derivative/ differential equation/ existence分类
数理科学引用本文复制引用
杨慧,王文霞,王俊霞..分数阶微分方程连续解的存在性定理[J].中北大学学报（自然科学版）,2011,32(1):84-86,3.基金项目
国家自然科学基金资助项目(10961020) （10961020）
山西省自然科学基金资助项目(2006011013) （2006011013）
