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

2019

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DOI 10.2989/16073606.2018.1544596
Data confidence 70 medium
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Abstract

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.