Two new approximations for generalized Caputo fractional derivative and their application in solving generalized fractional sub-diffusion equations

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2024
• Subjects: Science::Mathematics; Generalized Fractional Derivative; Caputo Fractional Derivative
• Online Access: https://hdl.handle.net/10356/173204
• Institution: Nanyang Technological University

In this paper, we propose two new approximation methods on a general mesh for the generalized Caputo fractional derivative of order α∈ (0 , 1 ). The accuracy of these two methods is shown to be of order (3 - α) which improves some previous work done to date. To demonstrate the accuracy and usefulnes...