Fractional Calculus and Applied Analysis
In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory.
Graef, John R.; Kong, Lingju; and Wang, Min, "Existence and uniqueness of solutions for a fractional boundary value problem on a graph" (2014). Faculty Scholarship for the College of Science & Mathematics. 51.
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Graef, J. R., Kong, L., & Wang, M. (2014). Existence and uniqueness of solutions for a fractional boundary value problem on a graph. Fractional Calculus and Applied Analysis, 17(2), 499-510.