On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann-Stieltjes Boundary Conditions

被引：4

作者：

Ahmad, Bashir ^{[1
]}

Alsaedi, Ahmed ^{[1
]}

Aljahdali, Areej S. ^{[1
]}

机构：

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

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 05期

关键词：

Generalized fractional integral and derivative operators; Fractional differential equations; Existence; Fixed point; DERIVATIVES; CHAOS; SYNCHRONIZATION;

D O I：

10.1007/s12346-024-01077-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a new class of coupled systems of nonlinear generalized fractional differential equations complemented with coupled nonlocal Riemann-Stieltjes and generalized fractional integral boundary conditions. The nonlinearities also include the lower order generalized fractional derivatives of the unknown functions. We apply the Banach contraction mapping principle and Leray-Schauder alternative to derive the desired results. An illustrative example is also discussed. The results presented in this work are novel in the given configuration and yield some new results as special cases (for details, see the Conclusion section).

引用

页数：21

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