Abstract:
In this paper, nonlinear stationary fractional-in-space differential equations with order $1<\alpha<2$ on a metric star graph with three finite bonds are considered. At the branching point of the star grap, the continuity condition for the weight is satisfied, and the generalized Kirchhoff rule is applied. They are found the exact solutions to nonlinear stationary fractional equations on the star graph. These solutions can be extended to star graphs with any number of bonds.
Keywords:Nonlinear differential equation of fractional order, metric star graph, fractional integral, Riemann–Lioville derivative.
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