New criteria for oscillation of damped fractional partial differential equations

Zhenguo Luo; Liping Luo; Zhenguo Luo; Liping Luo

doi:10.3934/mmc.2022021

Mathematical Modelling and Control

2022, Volume 2, Issue 4: 219-227. doi: 10.3934/mmc.2022021

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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

Received: 03 July 2022 Revised: 29 November 2022 Accepted: 20 December 2022 Published: 23 December 2022

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.
- oscillation,
- fractional partial differential equation,
- damping term,
- Riemann-Liouville derivative,
- Riccati transformation technique
Citation: Zhenguo Luo, Liping Luo. New criteria for oscillation of damped fractional partial differential equations[J]. Mathematical Modelling and Control, 2022, 2(4): 219-227. doi: 10.3934/mmc.2022021

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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.

References

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