关于分数阶微分方程解的注记

郑艳萍; 王文霞; 刘宇民

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关于分数阶微分方程解的注记

更新时间：2026-09-14

- 关于分数阶微分方程解的注记
- 关于分数阶微分方程解的注记
- Issue 1, (2011)
- 作者机构：
  
  太原师范学院数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011
- 稿件说明：
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郑艳萍, 王文霞, 刘宇民. 关于分数阶微分方程解的注记[J]. 2011, (1).
DOI：

郑艳萍, 王文霞, 刘宇民. 关于分数阶微分方程解的注记[J]. 2011, (1). DOI：

摘要

利用泛函分析中的经典分析方法

探讨了非线性分数阶微分方程的初值问题

其中微分方程的阶数q为区间(2

3]的任意实数

导数形式为Riemann-Liouville型导数.给出了该方程与相应的Voletrra积分方程的等价性

并在此基础上建立了其解的局部存在性与解的唯一性的充分条件.

Abstract

The initial problem for nonlinear fractional differential equation with order q in(2

3] and Riemann-Liouville differentiation were investigated with classical method of functional analysis.The equivalence between the above equations and the Volterra integral equation was given.And the sufficient conditions for the local existence and uniqueness of solutions were derived.

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