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

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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  • J. J. Nieto
  • ORCID iD 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
  • Communicated by Dušan D. Repovš.
  • Received: 2019-07-26.
  • Revised: 2019-10-23.
  • Accepted: 2019-11-03.
  • Published online: 2020-03-09.
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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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