On simple iterative fractional order differential equations
In this paper, the simple fractional iterative differential equation will be the focus of study Dβv(s)=vn(s), v(s0)=a. where s0, v0 ∈ I = [0, b], and 0 < β < 1. One class of the iterative fractional differential equations is the simple iterative fractional differential equation. In this paper,...
| 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/57445/ http://psasir.upm.edu.my/id/eprint/57445/1/On%20simple%20iterative%20fractional%20order%20differential%20equations.pdf |
| _version_ | 1848853368149114880 |
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| author | Damag, Faten Hasan Mohammed Kilicman, Adem |
| author_facet | Damag, Faten Hasan Mohammed Kilicman, Adem |
| author_sort | Damag, Faten Hasan Mohammed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the simple fractional iterative differential equation will be the focus of study Dβv(s)=vn(s), v(s0)=a. where s0, v0 ∈ I = [0, b], and 0 < β < 1. One class of the iterative fractional differential equations is the simple iterative fractional differential equation. In this paper, the local existence and uniqueness results for the fractional order of degree n of simple iterative fractional differential equation are proven and the solutions found by using power series. |
| first_indexed | 2025-11-15T10:52:51Z |
| format | Conference or Workshop Item |
| id | upm-57445 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:51Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574452017-09-27T10:47:08Z http://psasir.upm.edu.my/id/eprint/57445/ On simple iterative fractional order differential equations Damag, Faten Hasan Mohammed Kilicman, Adem In this paper, the simple fractional iterative differential equation will be the focus of study Dβv(s)=vn(s), v(s0)=a. where s0, v0 ∈ I = [0, b], and 0 < β < 1. One class of the iterative fractional differential equations is the simple iterative fractional differential equation. In this paper, the local existence and uniqueness results for the fractional order of degree n of simple iterative fractional differential equation are proven and the solutions found by using power series. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57445/1/On%20simple%20iterative%20fractional%20order%20differential%20equations.pdf Damag, Faten Hasan Mohammed and Kilicman, Adem (2016) On simple iterative fractional order differential equations. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972152 |
| spellingShingle | Damag, Faten Hasan Mohammed Kilicman, Adem On simple iterative fractional order differential equations |
| title | On simple iterative fractional order differential equations |
| title_full | On simple iterative fractional order differential equations |
| title_fullStr | On simple iterative fractional order differential equations |
| title_full_unstemmed | On simple iterative fractional order differential equations |
| title_short | On simple iterative fractional order differential equations |
| title_sort | on simple iterative fractional order differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57445/ http://psasir.upm.edu.my/id/eprint/57445/ http://psasir.upm.edu.my/id/eprint/57445/1/On%20simple%20iterative%20fractional%20order%20differential%20equations.pdf |