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,...
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2016
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my.upm.eprints.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 |
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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. |
| format |
Conference or Workshop Item |
| author |
Damag, Faten Hasan Mohammed Kilicman, Adem |
| spellingShingle |
Damag, Faten Hasan Mohammed Kilicman, Adem On simple iterative fractional order differential equations |
| author_facet |
Damag, Faten Hasan Mohammed Kilicman, Adem |
| author_sort |
Damag, Faten Hasan Mohammed |
| title |
On simple iterative fractional order differential equations |
| title_short |
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_sort |
on simple iterative fractional order differential equations |
| publisher |
AIP Publishing |
| publishDate |
2016 |
| url |
http://psasir.upm.edu.my/id/eprint/57445/1/On%20simple%20iterative%20fractional%20order%20differential%20equations.pdf http://psasir.upm.edu.my/id/eprint/57445/ |
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