Existence Theorems for Mixed Riemann-Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions

被引：16
作者：
Ntouyas, Sotiris K. [1 ,2 ]
Alsaedi, Ahmed [2 ]
Ahmad, Bashir [2 ]
机构：
[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
来源：
FRACTAL AND FRACTIONAL | 2019年 / 3卷 / 02期
关键词：
fractional derivatives; fractional integral; boundary value problems; existence; uniqueness; fixed-point theorems;
D O I：
10.3390/fractalfract3020021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the existence and uniqueness of solutions for a new class of single and multi-valued boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives, and nonlocal fractional integro-differential boundary conditions. Our results rely on modern tools of functional analysis. We also demonstrate the application of the obtained results with the aid of examples.
引用
收藏
页码：1 / 20
页数：20
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