Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms
This research article investigates a tripled system of nonlinear fractional differential equations with <i>n</i> 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 d...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-11-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/8/12/697 |
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| author | Mohamed S. Algolam Osman Osman Arshad Ali Alaa Mustafa Khaled Aldwoah Amer Alsulami |
| author_facet | Mohamed S. Algolam Osman Osman Arshad Ali Alaa Mustafa Khaled Aldwoah Amer Alsulami |
| author_sort | Mohamed S. Algolam |
| collection | DOAJ |
| description | This research article investigates a tripled system of nonlinear fractional differential equations with <i>n</i> 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. |
| format | Article |
| id | doaj-art-0d2fdea8c88b4cda8aadc2d82d01b8be |
| institution | DOAJ |
| issn | 2504-3110 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-0d2fdea8c88b4cda8aadc2d82d01b8be2025-08-20T02:53:38ZengMDPI AGFractal and Fractional2504-31102024-11-0181269710.3390/fractalfract8120697Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear TermsMohamed S. Algolam0Osman Osman1Arshad Ali2Alaa Mustafa3Khaled Aldwoah4Amer Alsulami5Department of Mathematics, College of Science, University of Ha’il, Ha’il 55476, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi ArabiaDepartment of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Faculty of Science, Northern Border University, Arar 73241, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi ArabiaDepartment of Mathematics, Turabah University College, Taif University, Taif 21944, Saudi ArabiaThis research article investigates a tripled system of nonlinear fractional differential equations with <i>n</i> 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.https://www.mdpi.com/2504-3110/8/12/697tripled systemnonlinear fractional differential equations<i>n</i>-term equationsfixed pointstability analysisfractional derivative |
| spellingShingle | Mohamed S. Algolam Osman Osman Arshad Ali Alaa Mustafa Khaled Aldwoah Amer Alsulami Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms Fractal and Fractional tripled system nonlinear fractional differential equations <i>n</i>-term equations fixed point stability analysis fractional derivative |
| title | Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms |
| title_full | Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms |
| title_fullStr | Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms |
| title_full_unstemmed | Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms |
| title_short | Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with <i>n</i>-Nonlinear Terms |
| title_sort | fixed point and stability analysis of a tripled system of nonlinear fractional differential equations with i n i nonlinear terms |
| topic | tripled system nonlinear fractional differential equations <i>n</i>-term equations fixed point stability analysis fractional derivative |
| url | https://www.mdpi.com/2504-3110/8/12/697 |
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