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On Abstract Fractional Order Telegraph Equation
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
Authors:
Herzallah, Mohamed A. E, Baleanu, Dumitru
DOI:
10.1115/1.4000824
Journal:
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS ASME-AMER SOC MECHANICAL ENG
Volume:
5
Research Area:
Engineering; Mechanics
ISSN
ISI:000275160100008
Keywords :
integral equations, partial differential equations, telegraphy
Abstract:
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.
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