A Langevin-Type q-Variant System of Nonlinear Fractional Integro-Difference Equations with Nonlocal Boundary Conditions

被引：9

作者：

Agarwal, Ravi P. ^{[1
]}

Al-Hutami, Hana ^{[2
]}

Ahmad, Bashir ^{[2
]}

机构：

[1] Texas A& M Univ, Dept Math, Kingsville, TX 78363 USA

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 01期

关键词：

fractional q-difference equations; Riemann-Liouville integral; nonlocal boundary conditions; existence; fixed point; STRING VIBRATIONS; DISPLACEMENT; DERIVATIVES; FORMULATION; EXISTENCE; SCHEME; ORDERS;

D O I：

10.3390/fractalfract6010045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new class of boundary value problems consisting of a q-variant system of Langevin-type nonlinear coupled fractional integro-difference equations and nonlocal multipoint boundary conditions. We make use of standard fixed-point theorems to derive the existence and uniqueness results for the given problem. Illustrative examples for the obtained results are also presented.

引用

页数：27

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