Fast algorithm based on IFFT for computing fractional Lubich coefficient of digital fractional differentiator

ZHOUYu; YUAN Xiao; ZHANG Yuerong

doi:10.11805/tkyda2021199

Journals >Journal of Terahertz Science and Electronic Information Technology >Volume 20 >Issue 6 >Page 608 > Article

Journal of Terahertz Science and Electronic Information Technology
Vol. 20, Issue 6, 608 (2022)

Fast algorithm based on IFFT for computing fractional Lubich coefficient of digital fractional differentiator

ZHOUYu^*, YUAN Xiao, and ZHANG Yuerong

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[in Chinese]

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DOI: 10.11805/tkyda2021199 Cite this Article

ZHOUYu, YUAN Xiao, ZHANG Yuerong. Fast algorithm based on IFFT for computing fractional Lubich coefficient of digital fractional differentiator[J]. Journal of Terahertz Science and Electronic Information Technology , 2022, 20(6): 608 Copy Citation Text

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References

[4] LUBICH Ch. Discretized fractional calculus[J]. Siam Journal on Mathematical Analysis, 1986,17(3):704-719.

[6] MITRA,KUMAR S. Digital signal processing-a computer-based approach[M]. 2nd ed. Singapore:McGraw-Hill Higher Education, 2002.

[7] JIAN Huanyan, HUANG Tingzhu, GU Xianming. Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations[J]. Computers & Mathematics with Applications, 2021(94):136-154.

[8] FANG Zhiwei,SUN Haiwei,WANG Hong. A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations[J]. Computers & Mathematics with Applications, 2020,80(5):1443-1458.

[14] PODLUBNY I. Fractional differential equations[C]// Mathematics in Science and Engineering. New York and London:Academic Press, 1999:161-176.

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