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**On holomorphic solution for space- and time-fractional telegraph equations in complex domain.**
*(English)*
Zbl 1250.35176

Summary: We consider some classes of space- and time-fractional telegraph equations in the complex domain in the sense of the Riemann-Liouville fractional operators for time and the Srivastava-Owa fractional operators for space. The existence and uniqueness of holomorphic solutions is established. We illustrate our theoretical results by examples.

### MSC:

35R11 | Fractional partial differential equations |

26A33 | Fractional derivatives and integrals |

45K05 | Integro-partial differential equations |

### Keywords:

space-fractional telegraph equations; time-fractional telegraph equations; Riemann-Liouville fractional operator; Srivastava-Owa fractional operator; holomorphic solutions
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\textit{R. W. Ibrahim}, J. Funct. Spaces Appl. 2012, Article ID 703681, 10 p. (2012; Zbl 1250.35176)

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### References:

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