Some solution of the fractional iterative integro-differential equations
In this article, we focus to some classes of fractional iterative integro-differential equations. Firstly, we interested of the fractional iterative integro-differential equations including derivatives and establish the existence and uniqueness solutions by using the non-expansive operators theory a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf |
| _version_ | 1825932154851295232 |
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| author | Kilicman, Adem Damag, F. H. M. |
| author_facet | Kilicman, Adem Damag, F. H. M. |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | In this article, we focus to some classes of fractional iterative integro-differential equations. Firstly, we interested of the fractional iterative integro-differential equations including derivatives and establish the existence and uniqueness solutions by using the non-expansive operators theory and fixed point theorems. The second studies, we concern of the system iterative integro-differential equations and show existence and uniqueness solutions by using the theorem of Banach fixed point and Schaefer fixed point theorem. In this study, we consider Riemann-Liouville and Caputo differential operator, further provide example as an application. |
| first_indexed | 2024-03-06T09:37:38Z |
| format | Article |
| id | upm.eprints-60253 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:37:38Z |
| publishDate | 2018 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-602532018-05-18T03:43:25Z http://psasir.upm.edu.my/id/eprint/60253/ Some solution of the fractional iterative integro-differential equations Kilicman, Adem Damag, F. H. M. In this article, we focus to some classes of fractional iterative integro-differential equations. Firstly, we interested of the fractional iterative integro-differential equations including derivatives and establish the existence and uniqueness solutions by using the non-expansive operators theory and fixed point theorems. The second studies, we concern of the system iterative integro-differential equations and show existence and uniqueness solutions by using the theorem of Banach fixed point and Schaefer fixed point theorem. In this study, we consider Riemann-Liouville and Caputo differential operator, further provide example as an application. Institute for Mathematical Research, Universiti Putra Malaysia 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf Kilicman, Adem and Damag, F. H. M. (2018) Some solution of the fractional iterative integro-differential equations. Malaysian Journal of Mathematical Sciences, 12 (1). pp. 121-141. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol12no1/8.%20Adem.pdf |
| spellingShingle | Kilicman, Adem Damag, F. H. M. Some solution of the fractional iterative integro-differential equations |
| title | Some solution of the fractional iterative integro-differential equations |
| title_full | Some solution of the fractional iterative integro-differential equations |
| title_fullStr | Some solution of the fractional iterative integro-differential equations |
| title_full_unstemmed | Some solution of the fractional iterative integro-differential equations |
| title_short | Some solution of the fractional iterative integro-differential equations |
| title_sort | some solution of the fractional iterative integro differential equations |
| url | http://psasir.upm.edu.my/id/eprint/60253/1/8.%20Adem.pdf |
| work_keys_str_mv | AT kilicmanadem somesolutionofthefractionaliterativeintegrodifferentialequations AT damagfhm somesolutionofthefractionaliterativeintegrodifferentialequations |