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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Results on Oscillation of Fractional Partial Differential Equation with Damping

Journal of Applied Nonlinear Dynamics 13(3) (2024) 507--520 | DOI:10.5890/JAND.2024.09.007

A. Palanisamy, V. Muthulakshmi

Department of Mathematics, Periyar University, Salem - 636 011, Tamil Nadu, India

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Abstract

In this manuscript, we primarily concentrate on the analysis of oscillatory behavior for the fractional order partial differential equation with damping term under Robin and Dirichlet boundary conditions. We obtained some new oscillation results by using the integral averaging technique and the generalized Riccati transformation. In the end, we have given two primary examples to illustrate the effectiveness of the obtained theory.

Acknowledgments

The authors are thankful to the anonymous referees for their valuable suggestions and comments to improve the quality of the paper.

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