Existence Results for a Differential Equation Involving the Right Caputo Fractional Derivative and Mixed Nonlinearities with Nonlocal Closed Boundary Conditions

被引：6

作者：

Ahmad, Bashir ^{[1
]}

Alnahdi, Manal ^{[1
]}

Ntouyas, Sotiris K. ^{[1
,2
]}

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：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期

关键词：

right Caputo fractional derivative; Riemann-Liouville fractional integrals; nonlocal closed boundary conditions; existence; fixed point;

D O I：

10.3390/fractalfract7020129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we present a new notion of nonlocal closed boundary conditions. Equipped with these conditions, we discuss the existence of solutions for a mixed nonlinear differential equation involving a right Caputo fractional derivative operator, and left and right Riemann-Liouville fractional integral operators of different orders. We apply a decent and fruitful approach of fixed point theory to establish the desired results. Examples are given for illustration of the main results. The paper concludes with some interesting observations.

引用

页数：11

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