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Existence and uniqueness of solutions for a fractional boundary value problem on a graph

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA

    John R. Graef, Lingju Kong & Min Wang

Authors
  1. John R. Graef
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  2. Lingju Kong
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  3. Min Wang
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Correspondence to John R. Graef.

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Graef, J.R., Kong, L. & Wang, M. Existence and uniqueness of solutions for a fractional boundary value problem on a graph. fcaa 17, 499–510 (2014). https://doi.org/10.2478/s13540-014-0182-4

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  • DOI: https://doi.org/10.2478/s13540-014-0182-4

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