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, 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. [ABSTRACT FROM AUTHOR]