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- Title
Blow-Up Solutions for the Space-Time Fractional Evolution Equation.
- Authors
Hu, Zhihao; Shi, Qihong
- 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.
- Subjects
SPACETIME; BLOWING up (Algebraic geometry); EVOLUTION equations; RIESZ spaces; TEST methods
- Publication
Journal of Nonlinear Mathematical Physics, 2023, Vol 30, Issue 3, p917
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1007/s44198-023-00109-5