%0 Journal Article %T On the Question of Asymptotic Integration of Singularly Perturbed Fractional-Order Problems %A Burkhan Kalimbetov %J Asian Journal of Fuzzy and Applied Mathematics %D 2018 %R 10.24203/ajfam.v6i3.5600 %X In this paper we consider an initial problem for systems of differential equations of fractional order with a small parameter for the derivative. Regularization problem is produced, and algorithm for normal and unique solubility of general iterative systems of differential equations with partial derivatives is given. %K [matrix-function %K vector-function %K differential equation of fractional order %K regularization %K asymptotic %K iterative problems %K normal and unique solvability.] %U https://www.ajouronline.com/index.php/AJFAM/article/view/5600