Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method

• Main Authors: Bilal, Muhammad, Norhayati, Rosli, Norazaliza, Mohd Jamil, Ahmad, Ifthikar
• Format: Article
• Language: English
• Published: Universiti Putra Malaysia 2020
• Subjects: QA Mathematics
• Online Access: http://umpir.ump.edu.my/id/eprint/31661/1/Numerical%20Solution%20of%20Fractional%20PDE%20with%20Fractional%20Taylor%20Series.pdf; http://umpir.ump.edu.my/id/eprint/31661/; https://einspem.upm.edu.my/journal/fullpaper/vol14sdec/11.%20Norhayati.pdf

In this paper, a collocation method which based on polynomial approximation of Taylor's series is proposed to approximate the solution of fractional pantograph differential equations (FPDE). The collocation method with truncated Taylor's polynomial is shown to be an applicable technique in...