Asymptotic behavior of fractional super-linear differential equations

Abstract This work is devoted to the nonlinear fractional differential equations of arbitrary order, considering the Riemann-Liouville derivative. We extend well-known oscillation criteria for super-linear integer-order differential equations. Finally, we show some discrepancies between the asymptotic behavior of solutions for fractional and integer order case.

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Publication Details

Journal
Mathematica Slovaca
Published
2025-04-01
DOI
https://doi.org/10.1515/ms-2025-0024
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
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article

Asymptotic behavior of fractional super-linear differential equations

Zuzana Došlá, Miroslav Bartušek
Mathematica Slovaca
Fractional Differential Equations Solutions
article

Asymptotic behavior of fractional super-linear differential equations

Zuzana Došlá, Miroslav Bartušek
article en

Abstract

Abstract This work is devoted to the nonlinear fractional differential equations of arbitrary order, considering the Riemann-Liouville derivative. We extend well-known oscillation criteria for super-linear integer-order differential equations. Finally, we show some discrepancies between the asymptotic behavior of solutions for fractional and integer order case.

Mathematica SlovacaVol. 75(2)
Masaryk University (CZ)
Openalex Percentile: Top 87%
Fractional Differential Equations Solutions
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Asymptotic behavior of fractional super-linear differential equations — Zuzana Došlá, Miroslav Bartušek · Mathematica Slovaca (2025) | TGRS Research Map | TGRS