Startseite On nonoscillation of fractional order functional differential equations with forcing term and distributed delays
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On nonoscillation of fractional order functional differential equations with forcing term and distributed delays

  • James Viji , Jehad Alzabut EMAIL logo , Velu Muthulakshmi und Abdulah Özbekler
Veröffentlicht/Copyright: 25. Februar 2025
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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.


J. Viji was supported by DST-INSPIRE Scheme (No.DST/INSPIRE Fellowship /2018/IF180260), New Delhi, India.

J. Alzabut is thankful to Prince Sultan University and OSTİM Technical University for their endless support.


Acknowledgement

The authors sincerely thank the editor and anonymous referees for their careful reading, constructive comments, and valuable suggestions, which have helped to improve the article.

  1. (Communicated by Jozef Džurina)

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Received: 2023-11-21
Accepted: 2024-09-12
Published Online: 2025-02-25
Published in Print: 2025-02-25

© 2025 Mathematical Institute Slovak Academy of Sciences

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