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

Source: [A derivation of boundary conditions for the space-fractional operator with order $0\<\\alpha\<1$ at the vertices of metric graphs](<https://www.sota2.com/research/paper/68fa5a5b1e209131ce9bf31d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T16:27:42.612Z

Authors: K.K. Sabirov, R.R. Ashurov

Published: 2023-02-22T10:28:37.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2305.01551>)

[PDF](<https://arxiv.org/pdf/2305.01551.pdf>)