检索结果-南通市图书馆

On the Approximation of Fractal-Fractional Differential Equations Using Numerical Inverse Laplace Transform Methods

Computer Modeling in Engineering & Sciences 2023年第6期135卷 2743-2765页

作者： Kamran Siraj Ahmad Kamal Shah Thabet Abdeljawad bahaaeldin abdalla Department of Mathematics Islamia College PeshawarKhyber Pakhtoon KhwaPeshawar25120Pakistan Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan

Laplace transform is one of the powerful tools for solving differential equations in engineering and other science *** the Laplace transform for solving differential equations,however,sometimes leads to solutions in the Laplace domain that are not readily invertible to the real domain by ***,we need numerical inversionmethods to convert the obtained solution fromLaplace domain to a real *** this paper,we propose a numerical scheme based on Laplace transform and numerical inverse Laplace transform for the approximate solution of fractal-fractional differential equations with orderα,β.Our proposed numerical scheme is based on three main ***,we convert the given fractal-fractional differential equation to fractional-differential equation in Riemann-Liouville sense,and then into Caputo ***,we transformthe fractional differential equation in Caputo sense to an equivalent equation in Laplace *** the solution of the transformed equation is obtained in Laplace ***,the solution is converted into the real domain using numerical inversion of Laplace *** inversion methods are evaluated in this paper,and their convergence is also *** test problems are used to validate the inversion *** demonstrate our results with the help of tables and *** obtained results show that Euler’s and Talbot’s methods performed better than Stehfest’s method.

关键词： Fractal-fractional differential equation power law kernel exponential decay kernel Mittag-Leffler kernel Laplace transform Euler’s method Talbot’s method Stehfest’s method

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

引用

Computer Modeling in Engineering & Sciences 2023年第7期136卷 921-941页

作者： Kamal Shah Hafsa Naz Thabet Abdeljawad bahaaeldin abdalla Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan

This research aims to understand the fractional order dynamics of the deadly Nipah virus(NiV)*** focus on using piecewise derivatives in the context of classical and singular kernels of power operators in the Caputo sense to investigate the crossover behavior of the considered dynamical *** establish some qualitative results about the existence and uniqueness of the solution to the proposed *** utilizing the Newtonian polynomials interpolation technique,we recall a powerful algorithm to interpret the numerical findings for the aforesaid ***,we remark that the said viral infection is caused by an RNA type virus which can transmit from animals and also from an infected person to *** bats which are also known as flying foxes are one of the sources of transmission of NiV *** in this work,we investigate its transmission mechanism through some new concepts of fractional calculus for further analysis and *** present the approximate results for different compartments using different fractional *** using the piecewise derivative concept,we detect the crossover ormulti-steps behavior in the transmission dynamics of the mentioned ***,the considered form of the derivative is used to deal with problems exhibiting crossover behaviors.

关键词： NiV disease fractional calculus piecewise derivative qualitative results newton polynomial RNA virus

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：