Some applications of generalized fractional derivatives

Authors

  • L.M. Sakhno Taras Shevchenko National University of Kyiv

DOI:

https://doi.org/10.17721/1812-5409.2022/2.3

Keywords:

generalized convolution–type derivatives, Bernstein functions, subordinators, eigenfunctions, differential equations with generalized fractional derivatives, random initial conditions, random fields on the sphere

Abstract

The paper presents a concise summary of main properties of generalized fractional derivatives, so-called convolution type derivatives with respect to Bernstein functions. Applications are considered to modeling time dependent random fields on the sphere as solutions to partial differential equations with the generalized fractional derivative in time and random initial condition.

Pages of the article in the issue: 28 - 34

Language of the article: English

References

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Published

2022-10-12

How to Cite

Sakhno, L. (2022). Some applications of generalized fractional derivatives. Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, (2), 28–34. https://doi.org/10.17721/1812-5409.2022/2.3

Issue

Section

Algebra, Geometry and Probability Theory