# The nonlinear stationary differential equations with fractional order $1\<\\alpha\<2$ on metric star graphs

Source: [The nonlinear stationary differential equations with fractional order $1\<\\alpha\<2$ on metric star graphs](<https://www.sota2.com/research/paper/68fa5b131e209131ce9c5394>)

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

Data updated: 2025-10-25T16:51:38.409Z

Authors: K.K. Sabirov

Published: 2023-11-06T09:56:22.000Z

## Abstract

In this paper we consider nonlinear stationary fractional-in-space differential equations with order $1\<\\alpha\<2$ on the metric star graph with three finite bonds. At the branched point of the star graph we put the weight continuity and the generalized Kirchhoff rule. It is found the exact solutions of nonlinear stationary fractional equations on the star graph. These can be extended to the star graphs with any number of bonds.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2311.02993>)

[PDF](<https://arxiv.org/pdf/2311.02993.pdf>)