POSITIVE SOLUTIONS FOR A NONLOCAL MULTI-POINT BOUNDARY-VALUE PROBLEM OF FRACTIONAL AND SECOND ORDER

被引：0
|
作者：
El-Sayed, Ahmed M. A. [1 ]
Bin-Taher, Ebtisam O. [2 ]
机构：
[1] Univ Alexandria, Fac Sci, Alexandria, Egypt
[2] Hadhramout Univ Sci & Technol, Fac Sci, Hadhramout, Yemen
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
关键词：
Fractional calculus; boundary value problem; nonlocal condition; integral condition; positive solution; SOLVABILITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study the existence of positive solutions for the nonlocal multi-point boundary-value problem u ''(t)+f(t,(c)D(alpha)u(t))=0, alpha is an element of(0, 1), a.e. t is an element of(0,1), u(0)=0, u(1)=Sigma(m)(k=1)a(k)u(tau(k)), tau(k)is an element of(a,b)subset of(0,1). We also consider the corresponding integral condition, and the two special cases alpha=0 and alpha=1.
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页数：8
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