Next Article in Journal
On Traub–Steffensen-Type Iteration Schemes With and Without Memory: Fractal Analysis Using Basins of Attraction
Previous Article in Journal
The Diffusion Equation Involving the Dunkl–Laplacian Operator in a Punctured Domain
Previous Article in Special Issue
On the Solvability of a Singular Time Fractional Parabolic Equation with Non Classical Boundary Conditions
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Fractal Fract
Volume 8
Issue 12
10.3390/fractalfract8120697
fractalfract-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles thumb_up
...
Endorse textsms
...
Comment
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

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

by
Mohamed S. Algolam
1,
Osman Osman
2,*,
Arshad Ali
3,
Alaa Mustafa
4,
Khaled Aldwoah
5,* and
Amer Alsulami
6
1
Department of Mathematics, College of Science, University of Ha’il, Ha’il 55476, Saudi Arabia
2
Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia
3
Department of Mathematics, University of Malakand Chakdara Dir(L), Khyber Pakhtunkhwa 18000, Pakistan
4
Department of Mathematics, Faculty of Science, Northern Border University, Arar 73241, Saudi Arabia
5
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
6
Department of Mathematics, Turabah University College, Taif University, Taif 21944, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Fractal Fract. 2024, 8(12), 697; https://doi.org/10.3390/fractalfract8120697
Submission received: 3 October 2024 / Revised: 14 November 2024 / Accepted: 25 November 2024 / Published: 26 November 2024
(This article belongs to the Special Issue Fractional Differential Equations: Advanced Results for Cases with Singularities)
Versions Notes

Abstract

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.
Keywords: tripled system; nonlinear fractional differential equations; n-term equations; fixed point; stability analysis; functional derivative tripled system; nonlinear fractional differential equations; n-term equations; fixed point; stability analysis; functional derivative

Share and Cite

MDPI and ACS Style

Algolam, M.S.; Osman, O.; Ali, A.; Mustafa, A.; Aldwoah, K.; Alsulami, A. Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with n-Nonlinear Terms. Fractal Fract. 2024, 8, 697. https://doi.org/10.3390/fractalfract8120697

AMA Style

Algolam MS, Osman O, Ali A, Mustafa A, Aldwoah K, Alsulami A. Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with n-Nonlinear Terms. Fractal and Fractional. 2024; 8(12):697. https://doi.org/10.3390/fractalfract8120697

Chicago/Turabian Style

Algolam, Mohamed S., Osman Osman, Arshad Ali, Alaa Mustafa, Khaled Aldwoah, and Amer Alsulami. 2024. "Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with n-Nonlinear Terms" Fractal and Fractional 8, no. 12: 697. https://doi.org/10.3390/fractalfract8120697

APA Style

Algolam, M. S., Osman, O., Ali, A., Mustafa, A., Aldwoah, K., & Alsulami, A. (2024). Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with n-Nonlinear Terms. Fractal and Fractional, 8(12), 697. https://doi.org/10.3390/fractalfract8120697

Article Metrics

Back to TopTop