EXISTENCE OF SOLUTIONS FOR NONLOCAL BOUNDARY VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS ON THE INFINITE INTERVAL

被引：0

作者：

Abdellatif Ghendir Aoun ^{[1
]}

机构：

[1] Ecole Normale Supérieure

来源：

AnnalsofAppliedMathematics | 2017年 / 33卷 / 04期

关键词：

boundary value problem; fractional differential equation; infinite interval; nonlocal condition; fixed point theorem;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

In this paper, we study a fractional differential equation;D;+u（t） + f(t, u（t）) = 0, t ∈（0, +∞）satisfying the boundary conditions:u′（0） = 0, limt→+∞;D;u（t） = g（u）,where 1 < α 2,;D;is the standard Caputo fractional derivative of orderα. The main tools used in the paper is a contraction principle in the Banach space and the fixed point theorem due to D. O’Regan. Under a compactness criterion, the existence of solutions are established.

引用

页码：340 / 352

页数：13

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