On nonoscillation of fractional order functional differential equations with forcing term and distributed delays
Abstract The paper deals with the nonoscillatory solutions of arbitrary noninteger-order neutral equations with distributed delays. Through the use of the LFD (Liouville Fractional Derivative) of order α ≥ 0 on the half-axis and BCP (Banach Contraction Principle), we are able to get the nonoscillation criteria. The obtained results are emphasized with some appropriate examples.
Authors
- Abdullah Özbekler (ORCID: https://orcid.org/0000-0001-5196-4078)
- Velu Muthulakshmi (ORCID: https://orcid.org/0000-0003-0125-5032)
- Jehad Alzabut (ORCID: https://orcid.org/0000-0002-5262-1138)
- James Viji (ORCID: https://orcid.org/0009-0003-1383-3933)
Institutions
- Periyar University (IN)
- Prince Sultan University (SA)
- Ankara University (TR)
- Ostim Technical University (TR)
Publication Details
- Journal
- Mathematica Slovaca
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1515/ms-2025-0008
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00