Abstract
This paper focuses on the blow-up solutions of the space-time fractional equations with Riemann–Liouville type nonlinearity in arbitrary-dimensional space. Using the Banach mapping principle and the test function method, we establish the local well-posedness and overcome the difficulties caused by the fractional operators to obtain the blow-up results. Furthermore, we get the precise lifespan of blow-up solutions under special initial conditions.
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Details
1 Lanzhou University of Technology, Department of Mathematics, Lanzhou, People’s Republic of China (GRID:grid.411291.e) (ISNI:0000 0000 9431 4158)