Generalized Φ-dichotomous linear part for a class of generalized differential equations
A dichotomy: ordinary or exponential, is a category of conditional stability. In this disquisition, we deal with nonlinear fractional differential equations (NFDE) involving generalized Φ-exponential and Φ-ordinary dichotomous (in the sense of fractional calculus) linear part in a Banach space. By e...
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University of Craiova
2018
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| _version_ | 1825721760597671936 |
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| author | Ibrahim, Rabha Waell Qasem, Sayyedah A. Siri, Zailan |
| author_facet | Ibrahim, Rabha Waell Qasem, Sayyedah A. Siri, Zailan |
| author_sort | Ibrahim, Rabha Waell |
| collection | UM |
| description | A dichotomy: ordinary or exponential, is a category of conditional stability. In this disquisition, we deal with nonlinear fractional differential equations (NFDE) involving generalized Φ-exponential and Φ-ordinary dichotomous (in the sense of fractional calculus) linear part in a Banach space. By employing of the Banach fixed point principle, the satisfactory conditions are located for the existence of Φ-bounded outcomes of these equations in the real case. |
| first_indexed | 2024-03-06T05:55:15Z |
| format | Article |
| id | um.eprints-21831 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:55:15Z |
| publishDate | 2018 |
| publisher | University of Craiova |
| record_format | dspace |
| spelling | um.eprints-218312019-08-06T06:53:24Z http://eprints.um.edu.my/21831/ Generalized Φ-dichotomous linear part for a class of generalized differential equations Ibrahim, Rabha Waell Qasem, Sayyedah A. Siri, Zailan Q Science (General) QA Mathematics A dichotomy: ordinary or exponential, is a category of conditional stability. In this disquisition, we deal with nonlinear fractional differential equations (NFDE) involving generalized Φ-exponential and Φ-ordinary dichotomous (in the sense of fractional calculus) linear part in a Banach space. By employing of the Banach fixed point principle, the satisfactory conditions are located for the existence of Φ-bounded outcomes of these equations in the real case. University of Craiova 2018 Article PeerReviewed Ibrahim, Rabha Waell and Qasem, Sayyedah A. and Siri, Zailan (2018) Generalized Φ-dichotomous linear part for a class of generalized differential equations. Annals of the University of Craiova, Mathematics and Computer Science Series, 45 (1). pp. 1-10. ISSN 1223-6934, http://inf.ucv.ro/~ami/index.php/ami/article/view/624 |
| spellingShingle | Q Science (General) QA Mathematics Ibrahim, Rabha Waell Qasem, Sayyedah A. Siri, Zailan Generalized Φ-dichotomous linear part for a class of generalized differential equations |
| title | Generalized Φ-dichotomous linear part for a class of generalized differential equations |
| title_full | Generalized Φ-dichotomous linear part for a class of generalized differential equations |
| title_fullStr | Generalized Φ-dichotomous linear part for a class of generalized differential equations |
| title_full_unstemmed | Generalized Φ-dichotomous linear part for a class of generalized differential equations |
| title_short | Generalized Φ-dichotomous linear part for a class of generalized differential equations |
| title_sort | generalized φ dichotomous linear part for a class of generalized differential equations |
| topic | Q Science (General) QA Mathematics |
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