Computation of Fractional Derivatives of Analytic Functions
Document Type
Article
Publication Date
7-29-2023
Department
Department of Mathematical Sciences
Abstract
It has recently been demonstrated that both regular derivatives and contour integrals of analytic functions can be numerically evaluated to very high orders of accuracy utilizing only grid-based function values in the complex plane. Using closely related techniques, we show here the same to be true for the task of evaluating fractional order derivatives of analytic functions across the complex plane. Several cases are illustrated.
Publication Title
Journal of Scientific Computing
Recommended Citation
Fornberg, B.,
&
Piret, C. M.
(2023).
Computation of Fractional Derivatives of Analytic Functions.
Journal of Scientific Computing,
96(3).
http://doi.org/10.1007/s10915-023-02293-4
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/20