Journal
APPLIED MATHEMATICS LETTERS
Volume 91, Issue -, Pages 201-206Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.12.020
Keywords
Fractional nonlinear reaction-diffusion equation; Blow-up; Global solution
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Funding
- Natural Science Foundation of China [41674141, 11701243, 11847133]
- Hongliu Foundation of First-class Disciplines of Lanzhou University of Technology, China
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This paper investigates the blow-up of solutions for a time fractional nonlinear reaction-diffusion equation with weakly spatial source. We first derive two sufficient conditions under which the solutions may blow up in finite time. Then, we prove the existence of global solution when the initial data are small enough. Moreover, the long time behavior of bounded solutions will be analyzed. (C) 2018 Elsevier Ltd. All rights reserved.
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