Mild and strong solutions for a fractional nonlinear Neumann boundary value problem

被引：0
|
作者：
Herzallah, Mohamed A. E. [1 ,2 ]
El-Shahed, Moustafa [3 ]
Baleanu, Dumitru [4 ,5 ]
机构：
[1] Zagazig Univ, Fac Sci, Zagazig, Egypt
[2] Majmaah Univ, Coll Sci Zulfi, Al Majmaah, Saudi Arabia
[3] Coll Educ, Qassim Unaizah, Saudi Arabia
[4] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[5] Inst Space Sci, R-76900 Magurele, Romania
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 02期
关键词：
Fractional Caputo derivative; Boundary value problem; Neumann conditions; Schauffer fixed point theorem; POSITIVE SOLUTIONS; ORDER; EXISTENCE;
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 investigated the following fractional Neumann boundary value problem D-C(0)alpha+u(t) - lambda u(t) = f (t, u(t)), u'(0) = u'(1) = 0, 1 < alpha < 2, lambda not equal 0, where D-C(a+)alpha is the fractional Caputo derivative. We proved the existence of at least one mild solution and we determined when this solution is unique for suitable assumptions on the function f
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收藏
页码：341 / 352
页数：12
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