%0 Journal Article
%T The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Chen, Yi
%A Chen, Dezhu
%A Lv, Zhanmei
%D 2012
%\ 09/15/2012
%V 38
%N 3
%P 607-624
%! The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions
%K Fractional differential equations
%K Boundary value problem
%K Schauder fixed-point theorem
%K Contraction mapping principle
%R
%X 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.
%U http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf