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

• المؤلفون الرئيسيون: Li, Xuhao, Wong, Patricia Jia Yiing
• مؤلفون آخرون: School of Electrical and Electronic Engineering
• التنسيق: مقال
• اللغة: English
• منشور في: 2018
• الموضوعات: Caputo; DRNTU::Engineering::Electrical and electronic engineering; Educational Assessment
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/88683; http://hdl.handle.net/10220/45899

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...