New criteria for oscillation of damped fractional partial differential equations-Reference-Cited by-同舟云学术

New criteria for oscillation of damped fractional partial differential equations

Published:2022 Issue:4 Volume:2 Page:219-227
ISSN:2767-8946
Container-title:Mathematical Modelling and Control
language:
Short-container-title:MMC

Author:

Luo Zhenguo,Luo Liping

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference16 articles.

1. S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and Derivatives. Theory and Applications, Gordon and Breach Science Publishers, Yverdon, Geneva, Switzerland, 1993.

2. I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering, Vol. 198, Academic Press, San Diego, California, USA, 1999.

3. A. A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, in: North-Holland Mathematics Studies, Vol. 204, Elsevier Science B.V., Amsterdam, The Netherlands, 2006.

4. S. Abbas, M. Benchohra, G. M. N'Gukata, Topics in Fractional Differential Equations, Springer, New York, USA, 2012.

5. Y. Zhou, Basic Theory of Fractional Differential Equations, World Scientific Publishing Co. Pte. Ltd., Singapore, 2014.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of solutions of fractal fractional partial differential equations through different contractions;AIMS Mathematics;2024