Space-Fractional Telegraph Equations

Somavatey Meas, Pisamai Kittipoom

Abstract


In this paper, we use the invariant subspace method to solve the space-fractional telegraph equation, in which fractional derivative is considered in the Caputo sense. We classify invariant subspaces for the space-fractional telegraph equation. By choosing an appropriate invariant subspace, the space-fractional telegraph equation is reduced to a system of fractional ordinary differential equations. Finally, finding the solutions of the system yields the solution of space-fractional telegraph equation.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|