@article {
author = {Chen, Yi and Chen, Dezhu and Lv, Zhanmei},
title = {The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {3},
pages = {607-624},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we study a coupled system of nonlinear fractional diﬀerential equations with multi-point boundary condi- tions. The diﬀerential operator is taken in the Riemann-Liouville sense. Applying the Schauder ﬁxed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,1), D^{beta}_{0+}y(t)=gleft(t,x(t),D^{q}_{0+}x(t)right), t in (0,1), x(0)=x'(0)=x''(0)=cdots=x^{(m-2)}(0)=0, x(1)=lambda x(xi) ,0y(0)=y',(0)=y''(0)=cdots=y^{(m-2)},(0)=0, y(1)=lambda y(xi) , 0where m in mathbb{N}, m geq 2,alpha,,beta in (m-1,m) and alpha,beta,p,q,lambda satisfy certain conditions.},
keywords = {Fractional differential equations,Boundary value problem,Schauder fixed-point theorem,Contraction mapping principle},
url = {http://bims.iranjournals.ir/article_227.html},
eprint = {http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf}
}