Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420736 | Applied Mathematics and Computation | 2014 | 8 Pages |
Abstract
We propose a method for determining the solution and source term of a generalized time-fractional diffusion equation. The method is based on selecting a bi-orthogonal basis of L2 space corresponding to a nonself-adjoint boundary value problem. Uniqueness is proven and an existence result is obtained for smooth initial and final conditions. The asymptotic behavior of the generalized Mittag-Leffler function is used to relax the smoothness requirement on these conditions.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Khaled M. Furati, Olaniyi S. Iyiola, Mokhtar Kirane,