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

Liping Luo, ,College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, P. R. China, Zhenguo Luo, Yunhui Zeng, ,Hunan Provincial Key Laboratory of Intelligent Information, Processing and Application, Hengyang, 421002, P. R. China
2018 Discrete and Continuous Dynamical Systems. Series S  

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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
more » ... examples to illustrate our main results. 2010 Mathematics Subject Classification. Primary: 35B05, 35R11; Secondary: 26A33.
doi:10.3934/dcdss.2020336 fatcat:qkgljnh7a5euzk6wjuayuxijze
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Liping Luo, ,College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, P. R. China, Zhenguo Luo, Yunhui Zeng, ,Hunan Provincial Key Laboratory of Intelligent Information, Processing and Application, Hengyang, 421002, P. R. China. "New results for oscillation of fractional partial differential equations with damping term." Discrete and Continuous Dynamical Systems. Series S 14.9 (2018) 0-0