Opuscula Mathematica
Opuscula Math. 40, no. 2 (2020), 291-305

Oscillation of time fractional vector diffusion-wave equation with fractional damping

R. Ramesh
S. Harikrishnan
J. J. Nieto
P. Prakash
Abstract. In this paper, sufficient conditions for \(H\)-oscillation of solutions of a time fractional vector diffusion-wave equation with forced and fractional damping terms subject to the Neumann boundary condition are established by employing certain fractional differential inequality, where \(H\) is a unit vector in \(\mathbb{R}^n\). The examples are given to illustrate the main results.
Keywords: fractional diffusion-wave equation, \(H\)-oscillation, vector differential equation.
Mathematics Subject Classification: 35B05, 35R11, 34K37.
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About the authors ▼
R. Ramesh
https://orcid.org/0000-0001-9477-2113
Department of Mathematics, Muthayammal College of Engineering, Rasipuram - 637408, India
S. Harikrishnan
https://orcid.org/0000-0003-1238-3523
Sona College of Technology, Department of Mathematics, Salem - 636005, India
J. J. Nieto
https://orcid.org/0000-0001-8202-6578
Universidad de Santiago de Compostela, Facultad de Matemáticas, Departamento de Análisis Matematico, Santiago de Compostela, Spain; King Abdulaziz University, Department of Mathematics, Jeddah 21589, Saudi Arabia
P. Prakash (corresponding author)
https://orcid.org/0000-0001-5430-1640
Department of Mathematics, Periyar University, Salem - 636011, India
About the article ▼
Communicated by Dušan D. Repovš.
Received: 2019-07-26.
Revised: 2019-10-23.
Accepted: 2019-11-03.
Published online: 2020-03-09.
Cite this article as ▼
R. Ramesh, S. Harikrishnan, J. J. Nieto, P. Prakash, Oscillation of time fractional vector diffusion-wave equation with fractional damping, Opuscula Math. 40, no. 2 (2020), 291-305, https://doi.org/10.7494/OpMath.2020.40.2.291.
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