Publication detail

On a fractional Leighton-Wintner type criterion

REHAK, P.

English title

On a fractional Leighton-Wintner type criterion

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

Leighton-Wintner criterion, Fractional differential equation, Asymptotic behavior

Released

2026-11-01

Publisher

Elsevier

Journal

Applied Mathematics Letters

Volume

182

Number

110060

Pages from–to

1–6

Pages count

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"
}