文章基本信息

标题：On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation
本地全文：下载
作者：Chatthai Thaiprayoon ; Sotiris K Ntouyas ; Jessada Tariboon 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：374
DOI：10.1186/s13662-015-0712-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Riemann-Liouville type fractional derivatives with the nonlocal Katugampola fractional integral conditions. A variety of fixed point theorems are used such as Banach’s fixed point theorem, Krasnoselskii’s fixed point theorem, Leray-Schauder’s nonlinear alternative, and Leray-Schauder degree theory. Enlightening examples of the obtained results are also presented.
关键词：fractional differential equations ; generalized fractional integral ; Katugampola fractional integral ; nonlocal boundary conditions ; fixed point theorems