Spectral analysis for fractional Volterra equation with ratio delay

ZHENG Weishan

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Spectral analysis for fractional Volterra equation with ratio delay

更新时间：2023-12-11

- Spectral analysis for fractional Volterra equation with ratio delay
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 57, Issue 4, Pages: 56-61(2018)
- 作者机构：
  
  韩山师范学院数学与统计学院,广东,潮州,521041
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2018，
  
  Published Online：25 July 2018，
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ZHENG Weishan. Spectral analysis for fractional Volterra equation with ratio delay. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(4):56-61(2018)
DOI：

ZHENG Weishan. Spectral analysis for fractional Volterra equation with ratio delay. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(4):56-61(2018) DOI：

摘要

对比例延迟分数阶Volterra型方程进行谱分析，首先通过变量变换予以正则化，然后利用谱方法求逼近解和逼近导数，最后给出严格的误差分析并获得方程在L

∞

和L

ωα

空间中真解与逼近解以及精确导数与逼近导数之间的误差呈指数收敛的结论。

Abstract

A spectral collocation method is provided for the fractional Volterra equation with ratio delay. By variable transformation and Jacobi discretization

a rigorous convergence analysis is proposed. The conclusion that the error of the approximate solution and approximate derivative decay exponentially both in L

∞

space and L

ωα

space are obtained.

关键词

谱分析比例延迟分数阶Volterra方程

Keywords

spectral analysisratio delayfractional orderVolterra equation

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