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Research Papers

On Abstract Fractional Order Telegraph Equation

[+] Author and Article Information
Mohamed A. E. Herzallah

Faculty of Science, Zagazig University, Zagazig, Egyptm_herzallah75@hotmail.com

Dumitru Baleanu

Department of Mathematics and Computer Science, Çankaya University, Ankara 06530, Turkey; Institute of Space Sciences, P.O. Box MG-23, R 76900 Magurele-Bucharest, Romaniadumitru@cankaya.edu.tr

J. Comput. Nonlinear Dynam 5(2), 021008 (Feb 18, 2010) (5 pages) doi:10.1115/1.4000824 History: Received March 11, 2009; Revised June 02, 2009; Published February 18, 2010; Online February 18, 2010

During the last decades, there has been a great deal of interest in fractional differential equations and their applications in various fields of science and engineering. In this paper, we give a new model of the abstract fractional order telegraph equation and we study the existence and uniqueness theorems of the strong and mild solutions as well as the continuation of this solution. To illustrate the obtained results, two examples were analyzed in detail.

Copyright © 2010 by American Society of Mechanical Engineers
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