On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in (1,2)
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in (1,2)
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICS LETTERS
ISSN
0893-9659
e-ISSN
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Volume of the periodical
145
Issue of the periodical within the volume
108779
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
1-9
UT code for WoS article
001037204900001
EID of the result in the Scopus database
2-s2.0-85167983971