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.