Analytical solution for the time-fractional telegraph equation by the method of separating variables. (English) Zbl 1138.35373

Summary: A method of separating variables is effectively implemented for solving a time-fractional telegraph equation (TFTE). We discuss and derive the analytical solution of the TFTE with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin boundary conditions.


35L70 Second-order nonlinear hyperbolic equations
35S05 Pseudodifferential operators as generalizations of partial differential operators
35L20 Initial-boundary value problems for second-order hyperbolic equations
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