Abstract

We investigate an initial-boundary value problem for a time-fractional subdiffusion equation with the Caputo derivatives on N-dimensional torus by the classical Fourier method. Since our solution is established on the eigenfunction expansion of elliptic operator, the method proposed in this article can be used to an arbitrary domain and an elliptic operator with variable coefficients. It should be noted that the conditions for the existence of a solution to the initial-boundary value problem found in the article cannot be weakened, and the article provides a corresponding example.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 1
Year: 2022

DOI: 10.12732/ijam.v35i1.10

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