Mathematical Modeling of Fractional Differential Filtration Dynamics Based on Models with Hilfer–Prabhakar Derivative

2017 ◽  
Vol 53 (2) ◽  
pp. 204-216 ◽  
Author(s):  
V. M. Bulavatsky
Keyword(s):  
Mathematical Modeling ◽  
Fractional Differential ◽  
Differential Filtration

scholarly journals Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel

2018 ◽  
Vol 11 (08) ◽  
pp. 994-1014 ◽  
Author(s):  
V. F. Morales-Delgado ◽  
J. F. Gómez-Aguilar ◽  
M. A. Taneco-Hernández ◽  
R. F. Escobar-Jiménez ◽  
V. H. Olivares-Peregrino
Keyword(s):  
Mathematical Modeling ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Fractional Differential

scholarly journals Mathematical Modeling and Functional Order Pursuits with Separated Dynamics

2021 ◽  
Vol 2068 (1) ◽  
pp. 012002
Author(s):  
Mashrabjon Mamatov ◽  
Xakimjon Alimov
Keyword(s):  
Mathematical Modeling ◽  
Dynamic Systems ◽  
Sufficient Conditions ◽  
Order Equation ◽  
Matrix Functions ◽  
Pursuit Problem ◽  
Controlled Systems ◽  
Generalized Matrix ◽  
Fractional Differential ◽  
Qualitative Dynamics

Abstract This work is devoted to the study of the pursuit problem in controlled systems described by a fractional-order equation with divided dynamics. For fixed player controls, representations of solutions are established in the form of analogs of the Cauchy formula using generalized matrix functions. Sufficient conditions are obtained for the possibility of completing the pursuit. Specific types of fractional differential equations and models of fractional dynamical systems are considered. The qualitative dynamics, issues of stability and controllability of such systems are discussed. Considered, try which, the motion of the equation is described with irrational orders. Problems of the type under study are encountered in modeling the processes of economic growth and in problems of stabilizing dynamic systems.

Cerebral Blood Circulation in Premature Infants by Means of Mathematical Modeling

2015 ◽  
Vol 46 (S 01) ◽  
Author(s):  
R. Lampe ◽  
N. Botkin ◽  
V. Turova ◽  
T. Blumenstein ◽  
A. Alves-Pinto
Keyword(s):  
Mathematical Modeling ◽  
Premature Infants ◽  
Blood Circulation ◽  
Cerebral Blood Circulation
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