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- Title
An Inverse Source Problem for the Generalized Subdiffusion Equation with Nonclassical Boundary Conditions.
- Authors
Bazhlekova, Emilia
- Abstract
An initial-boundary-value problem is considered for the one-dimensional diffusion equation with a general convolutional derivative in time and nonclassical boundary conditions. We are concerned with the inverse source problem of recovery of a space-dependent source term from given final time data. Generalized eigenfunction expansions are used with respect to a biorthogonal pair of bases. Existence, uniqueness and stability estimates in Sobolev spaces are established.
- Subjects
BOUNDARY value problems; HEAT equation; EIGENFUNCTIONS; EIGENANALYSIS; NUMERICAL solutions to boundary value problems
- Publication
Fractal & Fractional, 2021, Vol 5, Issue 3, p1
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract5030063