# American Institute of Mathematical Sciences

## New results for oscillation of fractional partial differential equations with damping term

 1 College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, P. R. China 2 Hunan Provincial Key Laboratory of Intelligent Information, Processing and Application, Hengyang, 421002, P. R. China

* Corresponding author: Zhenguo Luo

Received  March 2019 Revised  September 2019 Published  April 2020

Fund Project: The authors are supported by Hunan Provincial Natural Science Foundation of China (2019JJ40004, 2018JJ2006), the Project Supported by Scientific Research Fund of Hunan Provincial Education Department (17A030, 16A031), the Project of "Double First-Class" Applied Characteristic Discipline in Hunan Province (Xiangjiaotong[2018]469), the Project of Hunan Provincial Key Laboratory (2016TP1020) and the Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (IIPA18K05), the training target of the young backbone teachers in Hunan colleges and Universities ([2015]361)

In this paper, we study the oscillatory behavior of solutions of a class of damped fractional partial differential equations subject to Robin and Dirichlet boundary value conditions. By using integral averaging technique and Riccati type transformations, we obtain some new sufficient conditions for oscillation of all solutions of this kind of fractional differential equations with damping term. Our results essentially enrich the ones in the existing literature. Finally, we also give two specific examples to illustrate our main results.

Citation: Liping Luo, Zhenguo Luo, Yunhui Zeng. New results for oscillation of fractional partial differential equations with damping term. Discrete & Continuous Dynamical Systems - S, doi: 10.3934/dcdss.2020336
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