Nonlinear Riemann-Liouville Fractional Differential Equations With Nonlocal Erdélyi-Kober Fractional Integral Conditions

被引：0
|
作者：
Natthaphong Thongsalee
Sotiris K. Ntouyas
Jessada Tariboon
机构：
[1] Faculty of Applied Science King Mongkut’s University of Technology North Bangkok,Nonlinear Dynamic Analysis Research Center Department of Mathematics
[2] University of Ioannina,Department of Mathematics
[3] Faculty of Science King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
来源：
Fractional Calculus and Applied Analysis | 2016年 / 19卷
关键词：
Primary 34A08; Secondary 34B15; fractional differential equations; nonlocal boundary conditions; Erdélyi-Kober fractional integral; fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study a new class of Riemann-Liouville fractional differential equations subject to nonlocal Erdélyi-Kober fractional integral boundary conditions. Existence and uniqueness results are obtained by using a variety of fixed point theorems, such as Banach fixed point theorem, Nonlinear Contractions, Krasnoselskii fixed point theorem, Leray-Schauder Nonlinear Alternative and Leray-Schauder degree theory. Examples illustrating the obtained results are also presented.
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页码：480 / 497
页数：17
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