On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in (1,2)

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU149316" target="_blank" >RIV/00216305:26210/23:PU149316 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0893965923002112" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965923002112</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aml.2023.108779" target="_blank" >10.1016/j.aml.2023.108779</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in (1,2)

Popis výsledku v původním jazyce

We consider a sublinear fractional differential equation of an order in the interval (1,2) where the fractional derivative is of the Weyl type. Existence and asymptotic behavior of decaying and asymptotically constant positive solutions is studied. We mainly deal with regularly varying coefficients and/or solutions, but we also allow a more general setting. Our results are sharp and in the special case where the coefficient in the equation is asymptotically equivalent to a power function and the order of the equation is 2 we get back known results. An important role in the proofs is played by the fractional Karamata integration theorem and other properties of regularly varying functions, fixed point principle, and generalized fractional L'Hospital rule.& COPY; 2023 Elsevier Ltd. All rights reserved.

Název v anglickém jazyce

On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in (1,2)

Popis výsledku anglicky

We consider a sublinear fractional differential equation of an order in the interval (1,2) where the fractional derivative is of the Weyl type. Existence and asymptotic behavior of decaying and asymptotically constant positive solutions is studied. We mainly deal with regularly varying coefficients and/or solutions, but we also allow a more general setting. Our results are sharp and in the special case where the coefficient in the equation is asymptotically equivalent to a power function and the order of the equation is 2 we get back known results. An important role in the proofs is played by the fractional Karamata integration theorem and other properties of regularly varying functions, fixed point principle, and generalized fractional L'Hospital rule.& COPY; 2023 Elsevier Ltd. All rights reserved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

APPLIED MATHEMATICS LETTERS

ISSN

0893-9659

e-ISSN

—

Svazek periodika

145

Číslo periodika v rámci svazku

108779

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

1-9

Kód UT WoS článku

001037204900001

EID výsledku v databázi Scopus

2-s2.0-85167983971