Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
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DOI：
10.1016/j.camwa.2009.07.091
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发表时间：
2009-11-01
影响因子：
2.9
通讯作者：
Nieto, Juan J.
中科院分区：
文献类型：
--
作者：
Ahmad, Bashir;Nieto, Juan J.
研究了一类具有三点边界条件的非线性分数阶微分方程组。应用Schauder不动点定理，证明了系统D（alpha）u（t）= f（t，nu（t），D-pnu（t）），D-betanu（t）= g（t，u（t），D（q）u（t）），t是（0，1）中的元素，u（0）= 0，u（1）= gamma u（eta），nu（0）= 0，nu（1）= gamma nu（eta）的存在性，其中alpha，beta，p，q，η，γ满足一定条件。(C)2009爱思唯尔有限公司保留所有权利。
This paper studies a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following systemD(alpha)u(t) = f(t, nu(t), D-p nu(t)), D-beta nu(t) = g(t, u(t), D(q)u(t)), t is an element of (0, 1),u(0) = 0, u(1) = gamma u(eta), nu(0) = 0, nu(1) = gamma nu(eta)where alpha, beta, p, q, eta, gamma satisfy certain conditions. (C) 2009 Elsevier Ltd. All rights reserved.