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Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
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
- 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
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Abstract
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.
KeywordsFractional Differential EquationSpline FunctionsTaylor ExpansionStability
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