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Zbl 1250.35176
Ibrahim, Rabha W.
On holomorphic solution for space- and time-fractional telegraph equations in complex domain. (English)
[J] J. Funct. Spaces Appl. 2012, Article ID 703681, 10 p. (2012). ISSN 0972-6802

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 2000:: *35R11
26A33 Fractional derivatives and integrals (real functions)
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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Zentralblatt MATH Berlin [Germany]