Article

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

Published in: Quaestiones Mathematicae
Volume 43 , issue 2 , 2020 , pages: 185–192

DOI: 10.2989/16073606.2018.1544596

Author(s): Ahmed Alsaedi NAAM Research Group, Department of Mathematics, Faculty of Science, Saudi Arabia , Mokhtar Kirane LaSIE, Faculté des Sciences, Pole Sciences et Technologies, France , Berikbol T. Torebek Al-Farabi Kazakh National University, Kazakhstan

Keywords: Primary 35K55 , 35R11 , Primary 35K55 , 35R11

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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.

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