Fractional Integration and Differentiation of Asymptotic Relations and Applications

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F25%3APU156041" target="_blank" >RIV/00216305:26210/25:PU156041 - isvavai.cz</a>

Result on the web

<a href="https://onlinelibrary.wiley.com/doi/10.1002/mma.10679" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/mma.10679</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.10679" target="_blank" >10.1002/mma.10679</a>

Result language

angličtina

Original language name

Fractional Integration and Differentiation of Asymptotic Relations and Applications

Original language description

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.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10100 - Mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Volume of the periodical

48

Issue of the periodical within the volume

6

Country of publishing house

GB - UNITED KINGDOM

Number of pages

15

Pages from-to

6381-6395

UT code for WoS article

001390751900001

EID of the result in the Scopus database

2-s2.0-85214408501