TY - JOUR
ID - 227
TI - The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Chen, Yi
AU - Chen, Dezhu
AU - Lv, Zhanmei
AD - School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
Y1 - 2012
PY - 2012
VL - 38
IS - 3
SP - 607
EP - 624
KW - Fractional differential equations
KW - Boundary value problem
KW - Schauder fixed-point theorem
KW - Contraction mapping principle
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_227.html
L1 - http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf
ER -