A note on Analytical solution for the time-fractional telegraph equation by the method of separating variables

Chen et al.(2008) investigated the analytical solution of the time-fractional telegraph equation with three kinds of nonhomogeneous boundary conditions by the method of separating variables. However, for the Sturm-Liouville eigenvalue problem derived under the Robin boundary conditions, the eigenvalues and eigenfunctions provided by the authors have some defects. In this note, we mainly analyze and modify the eigenvalues and eigenfunctions in detail and obtain the new analytical solution. Numerical experiments show that our new analytical solution is valid. (C) 2022 Elsevier Inc. All rights reserved.

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In this study, the analytical solution of the time-fractional telegraph equation with three kinds of nonhomogeneous boundary conditions was investigated. The authors analyzed and modified the eigenvalues and eigenfunctions derived under the Robin boundary conditions in detail, and obtained a new analytical solution. Numerical experiments confirmed the validity of the new analytical solution.