Publication detail

Fractional Integration and Differentiation of Asymptotic Relations and Applications

ŘEHÁK, P.

Original Title

Fractional Integration and Differentiation of Asymptotic Relations and Applications

Type

journal article in Web of Science

Language

English

Original Abstract

The main results of this paper show how asymptotic relations are preserved when integrated or differentiated in the sense of fractional operators. In some of them, the concept of regular variation plays a role. We derive a fractional extension of the Karamata integration theorem and of the monotone density theorem, among others. We offer several approaches that provide deeper insight into relationships between different concepts. Illustrative applications in fractional differential equations are also presented.

Keywords

asymptotic relations; fractional calculus; fractional differential equations; Karamata theorem; regular variation

Authors

ŘEHÁK, P.

Released

1. 4. 2025

Publisher

WILEY

Location

HOBOKEN

ISBN

1099-1476

Periodical

Mathematical Methods in the Applied Sciences

Year of study

48

Number

6

State

United Kingdom of Great Britain and Northern Ireland

Pages from

6381

Pages to

6395

Pages count

15

URL

https://onlinelibrary.wiley.com/doi/10.1002/mma.10679

BibTex

@article{BUT197374,
  author="Pavel {Řehák}",
  title="Fractional Integration and Differentiation of Asymptotic Relations and Applications",
  journal="Mathematical Methods in the Applied Sciences",
  year="2025",
  volume="48",
  number="6",
  pages="6381--6395",
  doi="10.1002/mma.10679",
  issn="1099-1476",
  url="https://onlinelibrary.wiley.com/doi/10.1002/mma.10679"
}