Well-posedness and a blow up result for a fractionally damped coupled system

DOI10.1007/S40840-022-01405-XzbMath1504.35086OpenAlexW4310506655MaRDI QIDQ2105283

Abdelkarim Kelleche

Publication date: 8 December 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01405-x

zbMATH Keywords

Fourier transformblow upcoupled nonlinear systemfractional damping

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

• Systems of nonlinear wave equations with damping and source terms.
• A blow up result for a fractionally damped wave equation
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
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• Boundary fractional derivative control of the wave equation
• On the standing wave in coupled non-linear Klein-Gordon equations
• Uniform stabilization of solutions of a nonlinear system of viscoelastic equations
• The global Cauchy problem for a relativistic scalar field with power interaction
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