A derivation of boundary conditions for the space-fractional operator with order $0<\alpha<1$ at the vertices of metric graphs

K. K. Sabirov; R. R. Ashurov

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arXiv · 2305.01551

A derivation of boundary conditions for the space-fractional operator with order $0<\alpha<1$ at the vertices of metric graphs

K. K. Sabirov·R. R. Ashurov

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Abstract

We consider the space-fractional operator with order $0<\alpha<1$ on the metric star graph. The boundary conditions at the vertices of the metric star graph providing the self-adjointness of the operator are derived. The obtained result is extended to the other topologies of the metric graphs.

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K. K. Sabirov, R. R. Ashurov. 2023-02-22. A derivation of boundary conditions for the space-fractional operator with order $0<\alpha<1$ at the vertices of metric graphs. https://arxiv.org/abs/2305.01551

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