A nonlinear perturbed coupled system with an application to chaos attractor
In this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness, stability results, numerical scheme and computational applications. The presumed perturbed system is more general and...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723006848 |
| _version_ | 1797682817466892288 |
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| author | Hasib Khan Jehad Alzabut J.F. Gómez-Aguilar Wafa F. Alfwzan |
| author_facet | Hasib Khan Jehad Alzabut J.F. Gómez-Aguilar Wafa F. Alfwzan |
| author_sort | Hasib Khan |
| collection | DOAJ |
| description | In this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness, stability results, numerical scheme and computational applications. The presumed perturbed system is more general and several preexisting problems become its special cases. Fixed point results are applied for the theoretical results. The Lagrange’s polynomial is used to approximate the nonlinear system and a useful numerical scheme is established. For an application, a complex system of chaotic attractor is given and is computational studied via some graphical presentation. |
| first_indexed | 2024-03-12T00:06:20Z |
| format | Article |
| id | doaj.art-9154cdb2ee9f4f58b818c369e413b809 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T00:06:20Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-9154cdb2ee9f4f58b818c369e413b8092023-09-17T04:56:38ZengElsevierResults in Physics2211-37972023-09-0152106891A nonlinear perturbed coupled system with an application to chaos attractorHasib Khan0Jehad Alzabut1J.F. Gómez-Aguilar2Wafa F. Alfwzan3Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia; Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, TurkeyCONAHCyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico; Consejo Académico. Universidad Virtual CNCI, Monterrey, Mexico; Corresponding author at: CONAHCyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico.Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaIn this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness, stability results, numerical scheme and computational applications. The presumed perturbed system is more general and several preexisting problems become its special cases. Fixed point results are applied for the theoretical results. The Lagrange’s polynomial is used to approximate the nonlinear system and a useful numerical scheme is established. For an application, a complex system of chaotic attractor is given and is computational studied via some graphical presentation.http://www.sciencedirect.com/science/article/pii/S2211379723006848Modified ABC-operatorsExistence and unique solutionStability analysisIterative schemeChaos model |
| spellingShingle | Hasib Khan Jehad Alzabut J.F. Gómez-Aguilar Wafa F. Alfwzan A nonlinear perturbed coupled system with an application to chaos attractor Results in Physics Modified ABC-operators Existence and unique solution Stability analysis Iterative scheme Chaos model |
| title | A nonlinear perturbed coupled system with an application to chaos attractor |
| title_full | A nonlinear perturbed coupled system with an application to chaos attractor |
| title_fullStr | A nonlinear perturbed coupled system with an application to chaos attractor |
| title_full_unstemmed | A nonlinear perturbed coupled system with an application to chaos attractor |
| title_short | A nonlinear perturbed coupled system with an application to chaos attractor |
| title_sort | nonlinear perturbed coupled system with an application to chaos attractor |
| topic | Modified ABC-operators Existence and unique solution Stability analysis Iterative scheme Chaos model |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723006848 |
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