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

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.

Key words: Burgers equation, fractional derivative, blow-up of solution, non-existence of solution.