4.5 Article

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

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ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2007.06.023

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fractional telegraph equation; multivariate Mittag-Leffler function; method of separating variables

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In this paper, 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. (C) 2007 Elsevier Inc. All rights reserved.

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