Open AccessOn the Question of Asymptotic Integration of Singularly Perturbed Fractional-Order Problems
Author(s) -
Burkhan Kalimbetov
Publication year - 2018
Publication title -
asian journal of fuzzy and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2321-564X
DOI - 10.24203/ajfam.v6i3.5600
Subject(s) - method of matched asymptotic expansions , regularization (linguistics) , mathematics , fractional calculus , order (exchange) , derivative (finance) , singular perturbation , partial differential equation , differential equation , mathematical analysis , computer science , finance , artificial intelligence , financial economics , economics
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.Â