Analysis of a Fractional-Order Couple Model with Acceleration in Feelings
A fractional-order nonlinear dynamical model of couple has been introduced. Upper bounds are obtained for a fractional-order nonlinear dynamical model. Also different from other models, a model with the order 2α is discussed. We are expecting an acceleration in feelings; that is why we increase the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/730736 |
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| _version_ | 1832560390728318976 |
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| author | Ilknur Koca Nuri Ozalp |
| author_facet | Ilknur Koca Nuri Ozalp |
| author_sort | Ilknur Koca |
| collection | DOAJ |
| description | A fractional-order nonlinear dynamical model of couple has been introduced. Upper bounds are obtained for a fractional-order nonlinear dynamical model. Also different from other models, a model with the order 2α is discussed. We are expecting an acceleration in feelings; that is why we increase the order of the derivative between 1<2α≤2. Stability analysis of the fractional-order nonlinear dynamical model of involving two persons is studied using the fractional Routh-Hurwitz criteria. By using stability analysis on fractional-order system, we obtain sufficient condition on the parameters for the locally asymptotic stability of equilibrium points. Finally, numerical simulations are presented to verify the obtained results. |
| format | Article |
| id | doaj-art-6db87a8621d442188d5f75844ad3766b |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-6db87a8621d442188d5f75844ad3766b2025-02-03T01:27:46ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/730736730736Analysis of a Fractional-Order Couple Model with Acceleration in FeelingsIlknur Koca0Nuri Ozalp1Department of Mathematics, Faculty of Sciences, Gaziantep University, 27100 Gaziantep, TurkeyDepartment of Mathematics, Faculty of Sciences, Ankara University, 06100 Ankara, TurkeyA fractional-order nonlinear dynamical model of couple has been introduced. Upper bounds are obtained for a fractional-order nonlinear dynamical model. Also different from other models, a model with the order 2α is discussed. We are expecting an acceleration in feelings; that is why we increase the order of the derivative between 1<2α≤2. Stability analysis of the fractional-order nonlinear dynamical model of involving two persons is studied using the fractional Routh-Hurwitz criteria. By using stability analysis on fractional-order system, we obtain sufficient condition on the parameters for the locally asymptotic stability of equilibrium points. Finally, numerical simulations are presented to verify the obtained results.http://dx.doi.org/10.1155/2013/730736 |
| spellingShingle | Ilknur Koca Nuri Ozalp Analysis of a Fractional-Order Couple Model with Acceleration in Feelings The Scientific World Journal |
| title | Analysis of a Fractional-Order Couple Model with Acceleration in Feelings |
| title_full | Analysis of a Fractional-Order Couple Model with Acceleration in Feelings |
| title_fullStr | Analysis of a Fractional-Order Couple Model with Acceleration in Feelings |
| title_full_unstemmed | Analysis of a Fractional-Order Couple Model with Acceleration in Feelings |
| title_short | Analysis of a Fractional-Order Couple Model with Acceleration in Feelings |
| title_sort | analysis of a fractional order couple model with acceleration in feelings |
| url | http://dx.doi.org/10.1155/2013/730736 |
| work_keys_str_mv | AT ilknurkoca analysisofafractionalordercouplemodelwithaccelerationinfeelings AT nuriozalp analysisofafractionalordercouplemodelwithaccelerationinfeelings |