Global unsolvability of the Burgers equation with fractional time derivative

DOI10.1134/S0012266119060156zbMath1423.35416OpenAlexW2957403906WikidataQ115250594 ScholiaQ115250594MaRDI QIDQ2332112

Berikbol T. Torebek

Publication date: 1 November 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119060156

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (2)

Sub-diffusion equations with Mittag-Leffler nonlinearity ⋮ Blowing-up solutions of the time-fractional dispersive equations

Cites Work

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• Global unsolvability of one-dimensional problems for Burgers-type equations
• The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
• The essentially nonlinear capacities induced by differential operators
• A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM
• Gradient blow-up in generalized Burgers and Boussinesq equations
• Numerical and exact solutions for time fractional Burgers' equation

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