Fractional order model for complex Layla and Majnun love story with chaotic behaviour
The main purpose of the present paper is to develop and analyze fractional order dynamical model describing the change in behavior exhibited by a couple in a passionate relationship of love. Model is treated with advanced fractional operators like Atangana-Baleanu Caputo sense, Atanagana-Toufik sche...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-09-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821008255 |
| _version_ | 1798002030398144512 |
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| author | Muhammad Farman Ali Akgül Saud Fahad Aldosary Kottakkaran Sooppy Nisar Aqeel Ahmad |
| author_facet | Muhammad Farman Ali Akgül Saud Fahad Aldosary Kottakkaran Sooppy Nisar Aqeel Ahmad |
| author_sort | Muhammad Farman |
| collection | DOAJ |
| description | The main purpose of the present paper is to develop and analyze fractional order dynamical model describing the change in behavior exhibited by a couple in a passionate relationship of love. Model is treated with advanced fractional operators like Atangana-Baleanu Caputo sense, Atanagana-Toufik scheme, and fractal fractional for dynamical behavior of real love story. Its ability is to show constantly changed chaotic behavior of two individuals in the relationship, the model was previously expressed in love triangles. The System is analyzed by using the fixed point theory technique, the existence and uniqueness of system are proved as well as analyzed qualitatively. Also verify the local and global stability of the fractional order system. Numerical simulations are made with the Atanagana-Toufik scheme and fractal fractional operator to measure the emotions and love relationships between two peoples. Advanced approach of such applications opens the path to foresee the love relation after observing the human personality. |
| first_indexed | 2024-04-11T11:46:52Z |
| format | Article |
| id | doaj.art-a8b4ce409ac743478e03496704efedb5 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T11:46:52Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-a8b4ce409ac743478e03496704efedb52022-12-22T04:25:33ZengElsevierAlexandria Engineering Journal1110-01682022-09-0161967256738Fractional order model for complex Layla and Majnun love story with chaotic behaviourMuhammad Farman0Ali Akgül1Saud Fahad Aldosary2Kottakkaran Sooppy Nisar3Aqeel Ahmad4Department of Mathematics and statistics, University of Lahore, Lahore 54590, PakistanArt and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, TurkeyDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia; Corresponding author.Department of Mathematics and statistics, University of Lahore, Lahore 54590, PakistanThe main purpose of the present paper is to develop and analyze fractional order dynamical model describing the change in behavior exhibited by a couple in a passionate relationship of love. Model is treated with advanced fractional operators like Atangana-Baleanu Caputo sense, Atanagana-Toufik scheme, and fractal fractional for dynamical behavior of real love story. Its ability is to show constantly changed chaotic behavior of two individuals in the relationship, the model was previously expressed in love triangles. The System is analyzed by using the fixed point theory technique, the existence and uniqueness of system are proved as well as analyzed qualitatively. Also verify the local and global stability of the fractional order system. Numerical simulations are made with the Atanagana-Toufik scheme and fractal fractional operator to measure the emotions and love relationships between two peoples. Advanced approach of such applications opens the path to foresee the love relation after observing the human personality.http://www.sciencedirect.com/science/article/pii/S1110016821008255StabilityUniquenessLayla-MajnunFractional OperatorChaotic behavior |
| spellingShingle | Muhammad Farman Ali Akgül Saud Fahad Aldosary Kottakkaran Sooppy Nisar Aqeel Ahmad Fractional order model for complex Layla and Majnun love story with chaotic behaviour Alexandria Engineering Journal Stability Uniqueness Layla-Majnun Fractional Operator Chaotic behavior |
| title | Fractional order model for complex Layla and Majnun love story with chaotic behaviour |
| title_full | Fractional order model for complex Layla and Majnun love story with chaotic behaviour |
| title_fullStr | Fractional order model for complex Layla and Majnun love story with chaotic behaviour |
| title_full_unstemmed | Fractional order model for complex Layla and Majnun love story with chaotic behaviour |
| title_short | Fractional order model for complex Layla and Majnun love story with chaotic behaviour |
| title_sort | fractional order model for complex layla and majnun love story with chaotic behaviour |
| topic | Stability Uniqueness Layla-Majnun Fractional Operator Chaotic behavior |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821008255 |
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