Citation
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).
Abstract
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.
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