Detail publikace

On a fractional Leighton-Wintner type criterion

REHAK, P.

Anglický název

On a fractional Leighton-Wintner type criterion

Typ

Článek WoS

Jazyk

en

Originální abstrakt

In the paper, we consider several forms of nonlinear fractional differential equations of order (1,2], where we assume integral conditions of Leighton-Wintner type. It turns out that, unlike the case of second-order equations, the existence of non-oscillatory solutions cannot be excluded. This is, however, consistent with the specific behavior of fractional equations. We will see that for fractional order, these conditions often lead to providing specific information about the asymptotic behavior of (non-oscillatory) solutions. We also discuss examples which illustrate how the behavior predicted by our results matches the known behavior of the functions that constitute the solutions.

Klíčová slova anglicky

Leighton-Wintner criterion, Fractional differential equation, Asymptotic behavior

Vydáno

2026-11-01

Nakladatel

Elsevier

Časopis

Applied Mathematics Letters

Ročník

182

Číslo

110060

Strany od–do

1–6

Počet stran

6

BIBTEX


@article{BUT212113,
  author="Pavel {Řehák}",
  title="On a fractional Leighton-Wintner type criterion",
  journal="Applied Mathematics Letters",
  year="2026",
  volume="182",
  number="110060",
  pages="1--6",
  doi="10.1016/j.aml.2026.110060",
  issn="0893-9659",
  url="https://www.sciencedirect.com/science/article/pii/S0893965926001916"
}