Caputo Type Fractional Differential Equations with Nonlocal Riemann-Liouville and Erdelyi-Kober Type Integral Boundary Conditions

被引：7
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Tariboon, Jessada [3 ]
Alsaedi, Ahmed [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand
来源：
FILOMAT | 2017年 / 31卷 / 14期
关键词：
Caputo fractional derivative; Riemann-Liouville fractional integral; Erdelyi-Kober fractional integral; existence; fixed point; INCLUSIONS; EXISTENCE;
D O I：
10.2298/FIL1714515A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with different combinations of Riemann-Liouville and Erdelyi-Kober type fractional integral boundary conditions. By applying a variety of tools of fixed point theory, the desired existence and uniqueness results are obtained. Examples illustrating the main results are also constructed.
引用
收藏
页码：4515 / 4529
页数：15
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