Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions  

作　　者：Mahmoud N. Sherif Mahmoud N. Sherif(Mathematics Department, Faculty of Science and Education, Taif University, Al-Khurmah Branch, Taif, Saudi Arabia;Mathematics Department, Faculty of Science, Menoufia University, Shebeen ElKoom, Egypt)

机构地区：[1]Mathematics Department, Faculty of Science and Education, Taif University, Al-Khurmah Branch, Taif, Saudi Arabia [2]Mathematics Department, Faculty of Science, Menoufia University, Shebeen ElKoom, Egypt

出　　处：《Applied Mathematics》2016年第6期518-526,共9页应用数学（英文）

摘　　要：The aim of this paper is to approximate the solution of system of fractional delay differential equations. Our technique relies on the use of suitable spline functions of polynomial form. We introduce the description of the proposed approximation method. The error analysis and stability of the method are theoretically investigated. Numerical example is given to illustrate the applicability, accuracy and stability of the proposed method.The aim of this paper is to approximate the solution of system of fractional delay differential equations. Our technique relies on the use of suitable spline functions of polynomial form. We introduce the description of the proposed approximation method. The error analysis and stability of the method are theoretically investigated. Numerical example is given to illustrate the applicability, accuracy and stability of the proposed method.

关 键 词：Fractional Differential Equation Spline Functions Taylor Expansion STABILITY 

分 类 号：O17[理学—数学]