Title :
Existence of Solutions for Fractional Differential Equations Boundary Value Problem with Delay
Author :
Li, Yanan ; Sun, Shu-Rong ; Han, Zhen-Lai
Author_Institution :
Sch. of Math., Univ. of Jinan, Jinan, China
Abstract :
In this paper, we study a class of fractional functional differential equation with delay. We use Green function to reformulate the boundary value problem into an abstract operator equation. The existence of positive solutions of the boundary value problem for this class of fractional functional differential equation is obtained by using fixed point theorems on cone.
Keywords :
Green´s function methods; boundary-value problems; differential equations; functional equations; Green function; abstract operator equation; boundary value problem; delay; fixed point theorems; fractional functional differential equation; Boundary value problems; Delay; Differential equations; Educational institutions; Lead; Presses; Boundary value problem; Delay; Existence of solutions; Fixed point theorem on cone; Fractional differential equations;
Conference_Titel :
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-1450-3
DOI :
10.1109/ICICEE.2012.480
