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Research Article | Open Access

Oscillation results for a fractional partial differential system with damping and forcing terms

A. Palanisamy1, J. Alzabut2,3, V. Muthulakshmi1, S. S. Santra4, K. Nonlaopon5( )
Department of Mathematics, Periyar University, Salem 636 011, Tamil Nadu, India
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Department of Industrial Engineering, Ostim Technical University, Ankara 06374, Türkiye
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
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Abstract

In this paper, we study the forced oscillation of solutions of a fractional partial differential system with damping terms by using the Riemann-Liouville derivative and integral. We obtained some new oscillation results by using the integral averaging technique. The obtained results are illustrated by using some examples.

Keywords

fractional partial differential equationforced oscillationdamping term
CLC number: 34C10, 34K11, 35B05, 35R11

References

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4261-4279
DOI: 10.3934/math.2023212

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Cite this article:
Palanisamy A, Alzabut J, Muthulakshmi V, et al. Oscillation results for a fractional partial differential system with damping and forcing terms. AIMS Mathematics, 2023, 8(2): 4261-4279. https://doi.org/10.3934/math.2023212

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Received: 11 September 2022
Revised: 11 November 2022
Accepted: 24 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)