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**Analytical solution for the time-fractional telegraph equation.**
*(English)*
Zbl 1190.35224

Summary: We discuss and derive the analytical solution for three basic problems of the so-called time-fractional telegraph equation. The Cauchy and Signaling problems are solved by means of superposition of of the Laplace and Fourier transforms in variable \(t\) and \(x,\) respectively. The appropriate structures and negative properties for their Green functions are provided. The boundary problem in a bounded space domain is also solved by the spatial Sine transform and temporal Laplace transform, whose solution is given in the form of a series.

### MSC:

35R11 | Fractional partial differential equations |

35A22 | Transform methods (e.g., integral transforms) applied to PDEs |

35C10 | Series solutions to PDEs |

35A08 | Fundamental solutions to PDEs |

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\textit{F. Huang}, J. Appl. Math. 2009, Article ID 890158, 9 p. (2009; Zbl 1190.35224)

### References:

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