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Riemann—Liouville型分数阶微分方程的微分变换方法
  • ISSN号：1006-6330
  • 期刊名称：《应用数学与计算数学学报》
  • 时间：0
  • 分类：O19[理学—数学;理学—基础数学] TP391.9[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]上海大学数学系,上海200444
  • 相关基金：本文得到国家自然科学基金（No.10872119）和上海大学2009研究生创新基金（No.091046）的部分资助
作者： 叶俊杰[1], 钱德亮[1]
关键词： 广义Taylor公式, 微分变换方法, 序列分数阶导数, Riemann—Liouville, 分数阶导数, generalized Taylor＇s formula, differential transform method, sequentialfractional derivative, Riemann-Liouville fractional derivative
中文摘要：

本文在Riemann-Liouville分数阶导数的广义Taylor公式的基础上,建立了求解Riemann-Liouville型分数阶微分方程的微分变换方法.本文所建立的基于Riemann-Liouville分数阶导数微分变换方法给求解Riemann-Liouville分数阶导数的微分方程提供了一种新工具。

英文摘要：

Based on generalized Taylor＇s formula involving the Riemann-Liouville fractional derivative,the new differential transformation for the fractional differential equation with Riemann-Liouville derivative is established and applied to solving the equation with Ruemann-Liouville derivative.The illustrative examples show that the derived method is a effective one for solving such a kind of fractional differential equations.

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期刊信息
  • 《应用数学与计算数学学报》
  • 主管单位:上海市教育委员会
  • 主办单位:上海大学
  • 主编：马和平
  • 地址：上海市上大路99号121信箱上海大学期刊社
  • 邮编：200444
  • 邮箱：camc@oa.shu.edu.cn
  • 电话：021-66137602
  • 国际标准刊号：ISSN：1006-6330
  • 国内统一刊号：ISSN：31-1436/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘
  • 被引量:1282