Approximate solutions for non-linear iterative fractional differential equations
This paper establishes approximate solution for non-linear iterative fractional differential equations: dyv(s)/dsy = ℵ(s,v,v(v)), where γ ∈ (0, 1], s ∈ I := [0, 1]. Our method is based on some convergence tools for analytic solution in a connected region. We show that the suggested solution is uniqu...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57198/ http://psasir.upm.edu.my/id/eprint/57198/1/Approximate%20solutions%20for%20non-linear%20iterative%20fractional%20differential%20equations.pdf |
| _version_ | 1848853298171346944 |
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| author | Damag, Faten Hasan Mohammed Kilicman, Adem Ibrahim, Rabha Waell |
| author_facet | Damag, Faten Hasan Mohammed Kilicman, Adem Ibrahim, Rabha Waell |
| author_sort | Damag, Faten Hasan Mohammed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper establishes approximate solution for non-linear iterative fractional differential equations: dyv(s)/dsy = ℵ(s,v,v(v)), where γ ∈ (0, 1], s ∈ I := [0, 1]. Our method is based on some convergence tools for analytic solution in a connected region. We show that the suggested solution is unique and convergent by some well known geometric functions. |
| first_indexed | 2025-11-15T10:51:45Z |
| format | Conference or Workshop Item |
| id | upm-57198 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:45Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571982017-09-08T10:29:52Z http://psasir.upm.edu.my/id/eprint/57198/ Approximate solutions for non-linear iterative fractional differential equations Damag, Faten Hasan Mohammed Kilicman, Adem Ibrahim, Rabha Waell This paper establishes approximate solution for non-linear iterative fractional differential equations: dyv(s)/dsy = ℵ(s,v,v(v)), where γ ∈ (0, 1], s ∈ I := [0, 1]. Our method is based on some convergence tools for analytic solution in a connected region. We show that the suggested solution is unique and convergent by some well known geometric functions. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57198/1/Approximate%20solutions%20for%20non-linear%20iterative%20fractional%20differential%20equations.pdf Damag, Faten Hasan Mohammed and Kilicman, Adem and Ibrahim, Rabha Waell (2016) Approximate solutions for non-linear iterative fractional differential equations. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. . 10.1063/1.4952495 |
| spellingShingle | Damag, Faten Hasan Mohammed Kilicman, Adem Ibrahim, Rabha Waell Approximate solutions for non-linear iterative fractional differential equations |
| title | Approximate solutions for non-linear iterative fractional differential equations |
| title_full | Approximate solutions for non-linear iterative fractional differential equations |
| title_fullStr | Approximate solutions for non-linear iterative fractional differential equations |
| title_full_unstemmed | Approximate solutions for non-linear iterative fractional differential equations |
| title_short | Approximate solutions for non-linear iterative fractional differential equations |
| title_sort | approximate solutions for non-linear iterative fractional differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57198/ http://psasir.upm.edu.my/id/eprint/57198/ http://psasir.upm.edu.my/id/eprint/57198/1/Approximate%20solutions%20for%20non-linear%20iterative%20fractional%20differential%20equations.pdf |