Fractional differential equations for the generalized Mittag-Leffler function

In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involving the Appell function F₃(·) and results in terms of the Wright generalized hypergeometric-type function ₘ₊₁ψ^(\κₗ_l₀ )ₙ₊₁(z; p) recently established by Agarwal. Some interesting special cases are also pointed out.