On hybrid type nonlinear fractional integrodifferential equations
In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86971/ http://psasir.upm.edu.my/id/eprint/86971/1/On%20hybrid%20type%20nonlinear.pdf |
| _version_ | 1848860333929660416 |
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| author | Damag, Faten Hasan Mohammed Kilicman, Adem Al-Arioi, Awsan T. |
| author_facet | Damag, Faten Hasan Mohammed Kilicman, Adem Al-Arioi, Awsan T. |
| author_sort | Damag, Faten Hasan Mohammed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence as well as the uniqueness of the corresponding approximate solutions by using hybrid fixed point theorems and provide upper and lower bounds to these solutions. Furthermore, some examples are provided, in which the general claims in the main theorems are demonstrated. |
| first_indexed | 2025-11-15T12:43:35Z |
| format | Article |
| id | upm-86971 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:43:35Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-869712022-09-05T03:32:19Z http://psasir.upm.edu.my/id/eprint/86971/ On hybrid type nonlinear fractional integrodifferential equations Damag, Faten Hasan Mohammed Kilicman, Adem Al-Arioi, Awsan T. In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence as well as the uniqueness of the corresponding approximate solutions by using hybrid fixed point theorems and provide upper and lower bounds to these solutions. Furthermore, some examples are provided, in which the general claims in the main theorems are demonstrated. Multidisciplinary Digital Publishing Institute 2020-06-16 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86971/1/On%20hybrid%20type%20nonlinear.pdf Damag, Faten Hasan Mohammed and Kilicman, Adem and Al-Arioi, Awsan T. (2020) On hybrid type nonlinear fractional integrodifferential equations. Mathematics, 8 (6). pp. 1-14. ISSN 2227-7390 https://www.mdpi.com/2227-7390/8/6/984 10.3390/math8060984 |
| spellingShingle | Damag, Faten Hasan Mohammed Kilicman, Adem Al-Arioi, Awsan T. On hybrid type nonlinear fractional integrodifferential equations |
| title | On hybrid type nonlinear fractional integrodifferential equations |
| title_full | On hybrid type nonlinear fractional integrodifferential equations |
| title_fullStr | On hybrid type nonlinear fractional integrodifferential equations |
| title_full_unstemmed | On hybrid type nonlinear fractional integrodifferential equations |
| title_short | On hybrid type nonlinear fractional integrodifferential equations |
| title_sort | on hybrid type nonlinear fractional integrodifferential equations |
| url | http://psasir.upm.edu.my/id/eprint/86971/ http://psasir.upm.edu.my/id/eprint/86971/ http://psasir.upm.edu.my/id/eprint/86971/ http://psasir.upm.edu.my/id/eprint/86971/1/On%20hybrid%20type%20nonlinear.pdf |