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Journal of Function Spaces and Applications
Volume 2012, Article ID 703681, 10 pages
Research Article

On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain

Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, Malaysia

Received 19 February 2012; Revised 12 April 2012; Accepted 23 April 2012

Academic Editor: Josip E. Pecaric

Copyright © 2012 Rabha W. Ibrahim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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