Comparative analysis of the approximation of derivatives of Caputo and Riemann-Liouville fractional orders in the bases of biorthogonal polynomials

Authors

  • Ярослав П’янило
  • Валентина Собко
  • Галина П’янило
  • Адріан Торський

DOI:

https://doi.org/10.15407/fmmit2023.38.128

Keywords:

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Abstract

On the basis of the model problem, a comparative analysis of the use of the spectral
method in the basis of orthogonal polynomials for calculating the derivatives of fractional
orders of Caputo and Riemann-Liouville was carried out. The rate of convergence of the
approximation was analyzed

Published

2023-12-25

How to Cite

П’янило, Я., Собко, В., П’янило, Г., & Торський, А. (2023). Comparative analysis of the approximation of derivatives of Caputo and Riemann-Liouville fractional orders in the bases of biorthogonal polynomials. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (38), 128–134. https://doi.org/10.15407/fmmit2023.38.128