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Research Article | Open Access

New criteria for oscillation of damped fractional partial differential equations

Zhenguo Luo, Liping Luo( )
College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China
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Abstract

In this paper, we consider a class of fractional partial differential equations with damping term subject to Robin and Dirichlet boundary value conditions. We derive several new sufficient criteria for oscillation of solutions of the equations by using the integral averaging technique and generalized Riccati type transformations. Some applications of the main results are illustrated by some examples.

Keywords

oscillationfractional partial differential equationdamping termRiemann-Liouville derivativeRiccati transformation technique

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Mathematical Modelling and Control
Volume 2 Issue 4,
December 2022
Pages 219-227
DOI: 10.3934/mmc.2022021

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Cite this article:
Luo Z, Luo L. New criteria for oscillation of damped fractional partial differential equations. Mathematical Modelling and Control, 2022, 2(4): 219-227. https://doi.org/10.3934/mmc.2022021

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Received: 03 July 2022
Revised: 29 November 2022
Accepted: 20 December 2022
Published: 15 December 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)