Nonlocal Fractional Boundary Value Problems Involving Mixed Right and Left Fractional Derivatives and Integrals

被引：4
|
作者：
Alsaedi, Ahmed [1 ]
Broom, Abrar [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Ahmad, Bashir [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
AXIOMS | 2020年 / 9卷 / 02期
关键词：
fractional differential equations; fractional differential inclusions; existence; fixed point theorems; DIFFERENTIAL-EQUATIONS; INCLUSIONS; CONTROLLABILITY; EXISTENCE; SYSTEMS; CAPUTO; SET;
D O I：
10.3390/axioms9020050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of solutions for nonlocal single and multi-valued boundary value problems involving right-Caputo and left-Riemann-Liouville fractional derivatives of different orders and right-left Riemann-Liouville fractional integrals. The existence of solutions for the single-valued case relies on Sadovskii's fixed point theorem. The first existence results for the multi-valued case are proved by applying Bohnenblust-Karlin's fixed point theorem, while the second one is based on Martelli's fixed point theorem. We also demonstrate the applications of the obtained results.
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页数：16
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