High order approximation to new generalized Caputo fractional derivatives and its applications

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2018
• Subjects: Caputo; DRNTU::Engineering::Electrical and electronic engineering; Educational Assessment
• Online Access: https://hdl.handle.net/10356/88683; http://hdl.handle.net/10220/45899
• Institution: Nanyang Technological University

In this paper, we shall develop a generalized L1 − 2 formula for new generalized fractional Caputo derivatives. It is theoretically shown that this new approximation achieves O(τ3−α) (τ is the step size) which improves earlier work done to date. Also, numerical tests and an application are presented...