On a unique solution of fractional differential system
The aim of the study is to investigate the existence and uniqueness of solutions for a semi linear fractional differential system via Banach fixed point theorem. The study proved the existence and uniqueness of solution for a fractional differential system with initial conditions by using contracti...
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| Format: | Article |
| Language: | English |
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Tikrit University
2019-05-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/381 |
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| _version_ | 1839630578512560128 |
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| author | Muayyad Mahmood Khalil |
| author_facet | Muayyad Mahmood Khalil |
| author_sort | Muayyad Mahmood Khalil |
| collection | DOAJ |
| description |
The aim of the study is to investigate the existence and uniqueness of solutions for a semi linear fractional differential system via Banach fixed point theorem. The study proved the existence and uniqueness of solution for a fractional differential system with initial conditions by using contraction mapping theorem, existence and uniqueness results are obtained. Some examples are chosen to illustrate the validity of our results.
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| format | Article |
| id | doaj-art-fe96b51e869a4907a45ce9ac6ef78f7b |
| institution | Matheson Library |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2019-05-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-fe96b51e869a4907a45ce9ac6ef78f7b2025-07-14T01:50:50ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262019-05-0124310.25130/tjps.v24i3.381On a unique solution of fractional differential systemMuayyad Mahmood Khalil The aim of the study is to investigate the existence and uniqueness of solutions for a semi linear fractional differential system via Banach fixed point theorem. The study proved the existence and uniqueness of solution for a fractional differential system with initial conditions by using contraction mapping theorem, existence and uniqueness results are obtained. Some examples are chosen to illustrate the validity of our results. https://tjpsj.org/index.php/tjps/article/view/381unique solutiondifferential systemfractionalBanachfixed point |
| spellingShingle | Muayyad Mahmood Khalil On a unique solution of fractional differential system Tikrit Journal of Pure Science unique solution differential system fractional Banach fixed point |
| title | On a unique solution of fractional differential system |
| title_full | On a unique solution of fractional differential system |
| title_fullStr | On a unique solution of fractional differential system |
| title_full_unstemmed | On a unique solution of fractional differential system |
| title_short | On a unique solution of fractional differential system |
| title_sort | on a unique solution of fractional differential system |
| topic | unique solution differential system fractional Banach fixed point |
| url | https://tjpsj.org/index.php/tjps/article/view/381 |
| work_keys_str_mv | AT muayyadmahmoodkhalil onauniquesolutionoffractionaldifferentialsystem |