Title :
The classical solution for a class of time fractional differential equation
Author :
Guo, Xiulan ; Dang, Jian
Author_Institution :
Dept. of Math., Henan Inst. of Technol., Zhengzhou, China
Abstract :
In this paper the damped oscillating equation is considered with the damping term generalized to a Caputo fractional derivative. The order of the fractional derivative about time is V(0 <; V <; 2) . The series solution is obtained to the corresponding initial-bounded problem. Then we give the conditions under which the series solution is classical.
Keywords :
differential equations; Caputo fractional derivative; classical solution; damped oscillating equation; time fractional differential equation; Boundary value problems; Damping; Electronic mail; Equations; Partial differential equations; classical solution; fractional differential equation; initial-bounded problem;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002631
