A regularization method for Caputo fractional derivatives in the Banach space L^∞[0 , T]

Authors

Nguyen Van Duc, Vinh University
Thi Phong Nguyen, New Jersey Institute of Technology

Document Type

Article

Publication Date

2-1-2024

Abstract

This work is dedicated to the investigation of a regularization method for the problem of determining Caputo fractional derivatives of a function in the Banach space L∞[0 , T] . This regularization method is based on the approximation of the first-order derivative of the function by the solution of a well-posed problem depending on a regularization parameter. We then discuss the Hölder type stability results for the method according to two choice rules for the regularization parameter, which are an a priori parameter choice rule and an a posteriori parameter choice rule. Some numerical examples are provided.

Identifier

85163991787 (Scopus)

Publication Title

Numerical Algorithms

External Full Text Location

https://doi.org/10.1007/s11075-023-01598-7

e-ISSN

15729265

ISSN

10171398

First Page

1033

Last Page

1053

Issue

2

Volume

95

Recommended Citation

Duc, Nguyen Van and Nguyen, Thi Phong, "A regularization method for Caputo fractional derivatives in the Banach space L^∞[0 , T]" (2024). Faculty Publications. 675.
https://digitalcommons.njit.edu/fac_pubs/675