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

引用

页码：341 / 352

页数：12

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