Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty
The main contribution of the current paper is to obtain new results on the existence and uniqueness of the solution of fractional integro-differential equations under uncertainty with nonlocal conditions. For this purpose, we have used two basic tools, the contraction mapping principle and Krasnosel...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57180/ http://psasir.upm.edu.my/id/eprint/57180/1/Toward%20the%20existence%20and%20uniqueness%20of%20solutions%20for%20fractional%20integro-differential%20equations%20under%20uncertainty.pdf |
| _version_ | 1848853293292322816 |
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| author | Hosseini, Ali Ahmadian Ismail, Fudziah Senu, Norazak Salahshour, Soheil Suleiman, Mohamed |
| author_facet | Hosseini, Ali Ahmadian Ismail, Fudziah Senu, Norazak Salahshour, Soheil Suleiman, Mohamed |
| author_sort | Hosseini, Ali Ahmadian |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The main contribution of the current paper is to obtain new results on the existence and uniqueness of the solution of fractional integro-differential equations under uncertainty with nonlocal conditions. For this purpose, we have used two basic tools, the contraction mapping principle and Krasnoselskii's fixed-point theorem. Indeed, we have considered the original problem involving fuzzy Caputo differentiability, together with fuzzy nonlinear condition. |
| first_indexed | 2025-11-15T10:51:40Z |
| format | Conference or Workshop Item |
| id | upm-57180 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:40Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571802017-09-08T09:41:31Z http://psasir.upm.edu.my/id/eprint/57180/ Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty Hosseini, Ali Ahmadian Ismail, Fudziah Senu, Norazak Salahshour, Soheil Suleiman, Mohamed The main contribution of the current paper is to obtain new results on the existence and uniqueness of the solution of fractional integro-differential equations under uncertainty with nonlocal conditions. For this purpose, we have used two basic tools, the contraction mapping principle and Krasnoselskii's fixed-point theorem. Indeed, we have considered the original problem involving fuzzy Caputo differentiability, together with fuzzy nonlinear condition. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57180/1/Toward%20the%20existence%20and%20uniqueness%20of%20solutions%20for%20fractional%20integro-differential%20equations%20under%20uncertainty.pdf Hosseini, Ali Ahmadian and Ismail, Fudziah and Senu, Norazak and Salahshour, Soheil and Suleiman, Mohamed (2016) Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6). http://aip.scitation.org/doi/abs/10.1063/1.4952514 10.1063/1.4952514 |
| spellingShingle | Hosseini, Ali Ahmadian Ismail, Fudziah Senu, Norazak Salahshour, Soheil Suleiman, Mohamed Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| title | Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| title_full | Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| title_fullStr | Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| title_full_unstemmed | Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| title_short | Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| title_sort | toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty |
| url | http://psasir.upm.edu.my/id/eprint/57180/ http://psasir.upm.edu.my/id/eprint/57180/ http://psasir.upm.edu.my/id/eprint/57180/ http://psasir.upm.edu.my/id/eprint/57180/1/Toward%20the%20existence%20and%20uniqueness%20of%20solutions%20for%20fractional%20integro-differential%20equations%20under%20uncertainty.pdf |