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© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

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.

Details

Title
Blow-Up Solutions for the Space-Time Fractional Evolution Equation
Author
Hu, Zhihao 1 ; Shi, Qihong 1 

 Lanzhou University of Technology, Department of Mathematics, Lanzhou, People’s Republic of China (GRID:grid.411291.e) (ISNI:0000 0000 9431 4158) 
Pages
917-931
Publication year
2023
Publication date
Sep 2023
Publisher
Springer Nature B.V.
ISSN
14029251
e-ISSN
17760852
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2866602294
Copyright
© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.