High order approximation to new generalized Caputo fractional derivatives and its applications
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...
Saved in:
Main Authors: | Li, Xuhao, Wong, Patricia Jia Yiing |
---|---|
Other Authors: | School of Electrical and Electronic Engineering |
Format: | Article |
Language: | English |
Published: |
2018
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/88683 http://hdl.handle.net/10220/45899 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
Similar Items
-
Two new approximations for generalized Caputo fractional derivative and their application in solving generalized fractional sub-diffusion equations
by: Li, Xuhao, et al.
Published: (2024) -
A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative
by: Wang, Chuanli, et al.
Published: (2020) -
Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations
by: Li, Xuhao, et al.
Published: (2022) -
Fractional singular differential systems of Lane-Emden type : existence and uniqueness of solutions
by: Gouari, Yazid, et al.
Published: (2021) -
Numerical solution of fourth-order fractional diffusion wave model
by: Li, Xuhao, et al.
Published: (2018)