On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval

被引：0
作者：
Chunfang Shen
Hui Zhou
Liu Yang
机构：
[1] Hefei Normal University,College of Mathematics and Statistics
[2] University of Science and Technology of China,College of Mathematical Science
来源：
Boundary Value Problems | / 2015卷
关键词：
fractional differential equation; boundary value problem; infinite interval; fixed point theorem; 34B10; 34B15;
D O I：
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摘要：
This work deals with a boundary value problem for a nonlinear multi-point fractional differential equation on the infinite interval. By constructing the proper function spaces and the norm, we overcome the difficulty following from the noncompactness of [0,∞)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$[0, \infty)$\end{document}. By using the Schauder fixed point theorem, we show the existence of one solution with suitable growth conditions imposed on the nonlinear term.
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