Nonexistence of global solutions of systems of time fractional differential equations posed on the Heisenberg group

DOI10.1002/mma.8243zbMath1529.35554OpenAlexW4292310231MaRDI QIDQ6087597

Alrazi Abdeljabbar, Mukhtar Bin Muhammad Kirane

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8243

zbMATH Keywords

nonlinear fractional differential equationsHeisenberg's groupFujita's exponent

Mathematics Subject Classification ID

PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions ⋮ Interactions of rogue and solitary wave solutions to the (2 + 1)-D generalized Camassa-Holm-KP equation ⋮ Nonexistence for time-fractional wave inequalities on Riemannian manifolds ⋮ On a mixed nonlinear fractional boundary value problem with a new class of closed integral boundary conditions

Cites Work

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• Nonexistence results for some classes of nonlinear fractional differential inequalities
• Finite time blow up for critical wave equations in high dimensions
• Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
• A blow-up result for a nonlinear wave equation with damping: The critical case
• Analytical solution for a generalized space-time fractional telegraph equation
• Fujita’s Exponent for a Semilinear Wave Equation with Linear Damping
• Some inverse problems for wave equations with fractional derivative attenuation

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