Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions607624227ENYiChenSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.ChinaDezhuChenSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.ChinaZhanmeiLvSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.ChinaJournal Article20101025In this paper, we study a coupled system of nonlinear <br />fractional diﬀerential equations with multi-point boundary condi- <br />tions. The diﬀerential operator is taken in the Riemann-Liouville <br />sense. Applying the Schauder ﬁxed-point theorem and the contrac- <br />tion mapping principle, two existence results are obtained for the <br />following system <br />D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,1), <br />D^{beta}_{0+}y(t)=gleft(t,x(t),D^{q}_{0+}x(t)right), t in (0,1), <br />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.http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf