Mixed solutions of monotone iterative technique for hybrid fractional differential equations
In this present work we concern with mathematical modelling of biological experiments. The fractional hybrid iterative differential equations are suitable for mathematical modelling of biology and also interesting equations since the structure are rich with particular properties. The solution techni...
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| Format: | Article |
| Language: | English |
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Pleiades Publishing
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81375/ http://psasir.upm.edu.my/id/eprint/81375/1/Mixed%20solutions%20of%20monotone%20iterative%20technique%20for%20hybrid%20fractional%20differential%20equations.pdf |
| _version_ | 1848859089074913280 |
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| author | Damag, Faten H. Kilicman, Adem Ibrahim, Rabha W. |
| author_facet | Damag, Faten H. Kilicman, Adem Ibrahim, Rabha W. |
| author_sort | Damag, Faten H. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this present work we concern with mathematical modelling of biological experiments. The fractional hybrid iterative differential equations are suitable for mathematical modelling of biology and also interesting equations since the structure are rich with particular properties. The solution technique is based on the Dhage fixed point theorem that describes the mixed solutions by monotone iterative technique in the nonlinear analysis. In this method we combine two solutions, namely, lower and upper solutions. It is shown an approximate result for the hybrid fractional differential equations in the closed assembly formed by the lower and upper solutions. |
| first_indexed | 2025-11-15T12:23:47Z |
| format | Article |
| id | upm-81375 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:23:47Z |
| publishDate | 2019 |
| publisher | Pleiades Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-813752021-02-23T18:00:13Z http://psasir.upm.edu.my/id/eprint/81375/ Mixed solutions of monotone iterative technique for hybrid fractional differential equations Damag, Faten H. Kilicman, Adem Ibrahim, Rabha W. In this present work we concern with mathematical modelling of biological experiments. The fractional hybrid iterative differential equations are suitable for mathematical modelling of biology and also interesting equations since the structure are rich with particular properties. The solution technique is based on the Dhage fixed point theorem that describes the mixed solutions by monotone iterative technique in the nonlinear analysis. In this method we combine two solutions, namely, lower and upper solutions. It is shown an approximate result for the hybrid fractional differential equations in the closed assembly formed by the lower and upper solutions. Pleiades Publishing 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81375/1/Mixed%20solutions%20of%20monotone%20iterative%20technique%20for%20hybrid%20fractional%20differential%20equations.pdf Damag, Faten H. and Kilicman, Adem and Ibrahim, Rabha W. (2019) Mixed solutions of monotone iterative technique for hybrid fractional differential equations. Lobachevskii Journal of Mathematics, 40 (2). 156 -165. ISSN 1995-0802; ESSN: 1818-9962 https://link.springer.com/article/10.1134/S1995080219020069 10.1134/S1995080219020069 |
| spellingShingle | Damag, Faten H. Kilicman, Adem Ibrahim, Rabha W. Mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| title | Mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| title_full | Mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| title_fullStr | Mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| title_full_unstemmed | Mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| title_short | Mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| title_sort | mixed solutions of monotone iterative technique for hybrid fractional differential equations |
| url | http://psasir.upm.edu.my/id/eprint/81375/ http://psasir.upm.edu.my/id/eprint/81375/ http://psasir.upm.edu.my/id/eprint/81375/ http://psasir.upm.edu.my/id/eprint/81375/1/Mixed%20solutions%20of%20monotone%20iterative%20technique%20for%20hybrid%20fractional%20differential%20equations.pdf |