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Blow-up of smooth solutions of the time-fractional Burgers equation
Journal article   Peer reviewed

Blow-up of smooth solutions of the time-fractional Burgers equation

Ahmed Alsaedi, Mokhtar Kirane and Berikbol T. Torebek
Quaestiones mathematicae, Vol.43(2), pp.185-192
01/02/2020
DOI: https://doi.org/10.2989/16073606.2018.1544596

Abstract

blow-up of solution Burgers equation fractional derivative non-existence of solution Primary 35K55
This paper is devoted to the problem of existence of global solutions of the time-fractional Burgers equation. For certain initial-boundary problems for the time-fractional Burgers equation, we obtain necessary conditions of existence (in other words, sufficient conditions of nonexistence) of global solutions.

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