Tapdıgoğlu, Ramiz and Torebek, Berikbol (2020) Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation. Turkish Journal of Mathematics, 44 (3). pp. 960-969. ISSN 1300-0098 (Print) 1303-6149 (Online)
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Official URL: https://dx.doi.org/10.3906/mat-1909-65
Abstract
A time-fractional space-nonlocal reaction-diffusion equation in a bounded domain is considered. First, the existence of a unique local mild solution is proved. Applying Poincaré inequality it is obtained the existence and boundedness of global classical solution for small initial data. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Blow-up; Caputo derivative; Global existence; Involution; Reaction-diffusion equation |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ramiz Tapdıgoğlu |
| Date Deposited: | 01 Aug 2023 16:07 |
| Last Modified: | 01 Aug 2023 16:07 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46741 |
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