| Abstract: |
| In the talk, results on the stability of solutions to general evolution equations with the Caputo fractional-in-time derivatives will be presented. Our results can be applied, for example, either to systems of fractional differential equations or to general reaction-diffusion systems on bounded domains with Neumann boundary conditions. In particular, we provide an extended analysis of the so-called linearization principle (i.e. when the linear stability/instability implies the non-linear stability/instability). These results have important biological implications including Turing instability criteria. |
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