| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6420444 | Applied Mathematics and Computation | 2015 | 6 Pages |
Abstract
A reaction diffusion equation with a Caputo fractional derivative in time and with various boundary conditions is considered. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time. However, for realistic initial conditions, solutions are global in time. Moreover, the asymptotic behavior of bounded solutions will be analyzed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
B. Ahmad, M.S. Alhothuali, H.H. Alsulami, M. Kirane, S. Timoshin,