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The forward and inverse problems for a fractional boundary value problem
Authors:Yaqin Feng  Lingju Kong  Min Wang
Institution:1. Department of Mathematics, Ohio University, Athens, OH, USA.;2. Department of Mathematics, University of Tennessee, Chattanooga, TN, USA.;3. Department of Mathematics, Rowan University, Glassboro, NJ, USA.
Abstract:In this paper, the authors study the forward and inverse problems for a fractional boundary value problem with Dirichlet boundary conditions. The existence and uniqueness of solutions for the forward problem is first proved. Then an inverse source problem is considered.
Keywords:Fractional calculus  boundary value problem  inverse problem
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