ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Darzi, R. [1 ]
Mohammadzadeh, B. [2 ]
Neamaty, A. [3 ]
Baleanu, D. [4 ,5 ,6 ]
机构：
[1] Islamic Azad Univ, Dept Math, Neka Branch, Neka, Iran
[2] Islamic Azad Univ, Dept Math, Neka Branch, Sari, Iran
[3] Univ Mazandaran, Dept Math, Babol Sar, Iran
[4] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06810 Ankara, Turkey
[5] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia
[6] Inst Space Sci, Magurele, Romania
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 01期
关键词：
Fractional boundary value problem; Integral boundary conditions; Fixed point theory; BOUNDARY-VALUE-PROBLEMS; ORDER;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we investigate the existence and uniqueness of solution for fractional boundary value problem for nonlinear fractional differential equation D-0+(alpha) u(t) = f(t,u(t)), 0 < t < 1, 2 < alpha <= 3, with the integral boundary conditions {u(0) - gamma(1) u(1) = lambda(1) integral(1)(0) g(1) (s, u(s))ds, u'(0) - gamma(2)u'(1) = lambda(2) integral(1)(0) g(2) (s, u(s))ds, u ''(0) - gamma(2)u ''(1) = 0, where D-0+(alpha) denotes Caputo derivative of order alpha. by using the fixed point theory. We apply the contraction mapping principle and Krasnoselskii's fixed point theorem to obtain some new existence and uniqueness results. Two examples are given to illustrate the main results.
引用
收藏
页码：152 / 162
页数：11
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