Author(s)

Mahmoud N. Sherif^1,2*

¹Mathematics Department, Faculty of Science and Education, Taif University, Al-Khurmah Branch, Taif, Saudi Arabia.
²Mathematics Department, Faculty of Science, Menoufia University, Shebeen ElKoom, Egypt.

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.

Fractional Differential Equation, Spline Functions, Taylor Expansion, Stability

Sherif, M. (2016) Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions. Applied Mathematics, 7, 518-526. doi: 10.4236/am.2016.76048.