Systems of Differential Equations of Infinite Order with Small Parameter and Countable Markov Chains

2016 ◽  
pp. 565-576 ◽  
Author(s):  
Galina Bolotova ◽  
S. A. Vasilyev ◽  
Dmitry N. Udin
Keyword(s):  
Differential Equations ◽  
Markov Chains ◽  
Small Parameter ◽  
Infinite Order ◽  
Systems Of Differential Equations

scholarly journals On the Question of Asymptotic Integration of Singularly Perturbed Fractional-Order Problems

2018 ◽  
Vol 6 (3) ◽  
Author(s):  
Burkhan Kalimbetov
Keyword(s):  
Differential Equations ◽  
Small Parameter ◽  
Fractional Order ◽  
Initial Problem ◽  
Singularly Perturbed ◽  
Asymptotic Integration ◽  
Partial Derivatives ◽  
Systems Of Differential Equations ◽  
Regularization Problem ◽  
Iterative Systems

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. 

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