Opuscula Math. 40, no. 2 (2020), 291-305
https://doi.org/10.7494/OpMath.2020.40.2.291
Opuscula Mathematica
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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- 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
- Communicated by Dušan D. Repovš.
- Received: 2019-07-26.
- Revised: 2019-10-23.
- Accepted: 2019-11-03.
- Published online: 2020-03-09.
