Detail publikačního výsledku

Fractional Integration and Differentiation of Asymptotic Relations and Applications

ŘEHÁK, P.

Originální název

Fractional Integration and Differentiation of Asymptotic Relations and Applications

Anglický název

Fractional Integration and Differentiation of Asymptotic Relations and Applications

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŘEHÁK, P.

Rok RIV

2025

Vydáno

01.04.2025

Nakladatel

WILEY

Místo

HOBOKEN

ISSN

1099-1476

Periodikum

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Svazek

48

Číslo

6

Stát

Spojené království Velké Británie a Severního Irska

Strany od

6381

Strany do

6395

Strany počet

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="0170-4214",
  url="https://onlinelibrary.wiley.com/doi/10.1002/mma.10679"
}