Subdiffusion Equation Inverse Source Problem Riesz Basis Mittag–Leffler Function Stieltjes Function
Issue Date:
30-Jun-2021
Publisher:
MDPI
Citation:
Bazhlekova, E. An Inverse Source Problem for the Generalized Subdiffusion Equation with Nonclassical Boundary Conditions. Fractal Fract., 2021, 5, 63. https:// doi.org/10.3390/fractalfract5030063
Series/Report no.:
Fractal Fract.;5(3)
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.
