| Abstract: |
| Recently non-local boundary value problems have been investigated together with the associated probabilistic representation in terms of sticky Brownian motions (see [CD], [D1], [D2]).
In the present talk, I present some results on non-local dynamic boundary conditions on irregular structures like snowflake type fractals.
[CD] Raffaela Capitanelli, Mirko D`Ovidio. On the Laplace equation with non-local dynamical boundary conditions. Evolution Equations and Control Theory, 2026, 16: 1-15.
[D1] M. D`Ovidio,Fractional Boundary Value Problems, Fract. Calc. Appl. Anal., 1 25, (2022), 29-59.
[D2] M. D`Ovidio, Fractional Boundary Value Problems and Elastic Sticky Brownian Motions, Fract. Calc. Appl. Anal., 27 (2024) 2162-2202. |
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