Nonexistence of solutions to a hyperbolic equation with a time fractional damping

DOI10.4171/ZAA/1281zbMath1106.26009OpenAlexW1977687879MaRDI QIDQ2494610

Mukhtar Bin Muhammad Kirane, Nasser-eddine Tatar

Publication date: 14 July 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1281

zbMATH Keywords

Boundary value problemsNonlinear equationFractional derivatives and integralsInitial value problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Second-order nonlinear hyperbolic equations (35L70)

Related Items (17)

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Cites Work

• Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
• Local and global solvability of a class of semilinear parabolic equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• Exponential growth for a fractionally damped wave equation
• Problems paraboliques semi-lineaires avec donnees measures
• Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping
• Criticality for some evolution equations
• Unnamed Item

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