...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of numerical methods for heat & fluid flow >A novel approach for the analytical solution of nonlinear time-fractional differential equations
【24h】

A novel approach for the analytical solution of nonlinear time-fractional differential equations

机译：非线性时间分数微分方程分析解的一种新方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Purpose - The purpose of this paper is to suggest the solution of time-fractional Fornberg-Whitham and time-fractional Fokker-Planck equations by using a novel approach. Design/methodology/approach - First, some basic properties of fractional derivatives are defined to construct a novel approach. Second, modified Laplace homotopy perturbation method (HPM) is constructed which yields to a direct approach. Third, two numerical examples are presented to show the accuracy of this derived method and graphically results showed that this method is very effective. Finally, convergence of HPM is proved strictly with detail. Findings - It is not necessary to consider any type of assumptions and hypothesis for the development of this approach. Thus, the suggested method becomes very simple and a better approach for the solution of time-fractional differential equations. Originality/value - Although many analytical methods for the solution of fractional partial differential equations are presented in the literature. This novel approach demonstrates that the proposed approach can be applied directly without any kind of assumptions.
机译：目的 - 本文的目的是通过使用新方法来提出时间分数福尔格 - Whitham和时间分数Fokker-Planck方程的解决方案。设计/方法/方法 - 首先，定义分数衍生物的一些基本属性以构建一种新方法。其次，构建改进的拉普拉斯同型扰动方法（HPM），其产生直接方法。第三，提出了两个数值例子以显示该衍生方法的准确性，并且图形结果表明该方法非常有效。最后，严格详细证明了HPM的收敛性。调查结果 - 没有必要考虑任何类型的假设和假设，以发展这种方法。因此，建议的方法变得非常简单，更好地求解时间分数微分方程。原创性/值 - 尽管在文献中提出了用于分数局部微分方程的许多分析方法。这种新颖的方法表明，所提出的方法可以直接应用，没有任何假设。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号