Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with n-Nonlinear Terms

被引：1

作者：

Algolam, Mohamed S. ^{[1
]}

Osman, Osman ^{[2
]}

Ali, Arshad ^{[3
]}

Mustafa, Alaa ^{[4
]}

Aldwoah, Khaled ^{[5
]}

Alsulami, Amer ^{[6
]}

机构：

[1] Univ Hail, Coll Sci, Dept Math, Hail 55476, Saudi Arabia

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah 52571, Saudi Arabia

[3] Univ Malakand, Dept Math, Chakdara 18000, Khyber Pakhtunk, Pakistan

[4] Northern Border Univ, Fac Sci, Dept Math, Ar Ar 73241, Saudi Arabia

[5] Islamic Univ Madinah, Fac Sci, Dept Math, Madinah 42351, Saudi Arabia

[6] Taif Univ, Turabah Univ Coll, Dept Chem, Taif 21944, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 12期

关键词：

tripled system; nonlinear fractional differential equations; <italic>n</italic>-term equations; fixed point; stability analysis; fractional derivative; EXISTENCE; MECHANICS;

D O I：

10.3390/fractalfract8120697

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research article investigates a tripled system of nonlinear fractional differential equations with n terms. The study explores this novel class of differential equations to establish existence and stability results. Utilizing Schaefer's and Banach's fixed point theorems, we derive sufficient conditions for the existence of at least one solution, as well as a unique solution. Furthermore, we apply Hyers-Ulam stability analysis to establish criteria for the stability of the system. To demonstrate the applicability of the main results, a detailed example is provided.

引用

页数：20

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