Title :
Existence and Uniqueness Results for Fractional Differential Equations with Delay and Impulsive Effects
Author :
Wu, Jun ; Liu, Yicheng
Author_Institution :
Coll. of Math. & Comput. Sci., Changsha Univ. of Sci. Technol., Changsha, China
Abstract :
There are numerical fractional differential equations models in the fields of signal and image processing. In this paper, we show some new existence and uniqueness results for the fractional differential equations with delay and impulse effects. Our methods is based on the equivalent norm techniques and fixed point theorem. An illustrative example is presented in the last section.
Keywords :
delays; differential equations; signal processing; delay effect; equivalent norm technique; fixed point theorem; image processing; impulsive effect; numerical fractional differential equation; signal processing; Boundary value problems; Delay; Differential equations; Equations; Gold; Image processing;
Conference_Titel :
Wireless Communications Networking and Mobile Computing (WiCOM), 2010 6th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-3708-5
Electronic_ISBN :
978-1-4244-3709-2
DOI :
10.1109/WICOM.2010.5600856