THE RICCATI EQUATION WITH VARIABLE HEREDITY
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2017, Vol 1, Issue
Abstract
We consider the Riccati differential equation with a fractional derivative of variable order. The introduction of a derivative of a fractional variable order into the initial equation determines the property of the medium — the memory effect or the heredity, which consists in the dependence of the current state of the dynamic system on its previous states.
Authors and Affiliations
Dmitry Tverdiy
Keywords
Related Articles
- EP ID EP494509
- DOI 10.18454/2079-6641-2017-17-1-44-53
- Views 88
- Downloads 0
STATISTICAL ANALYSIS ORIENTATIONS DISLOCATIONS IN THE SUBDUCTION ZONE KURIL-KAMCHATKA ISLAND ARC DATA DIRECTORY HARVARD
Determined by the orientation of the dislocations (normal vectors to the planes of discontinuities) vectors and shifts along the boundaries of dislocations According to Harvard directory (Global CMT catalog) for the peri...
MATHEMATICAL MODELING OF NONLOCAL OSCILLATORY DUFFING SYSTEM WITH FRACTAL FRICTION
The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed...
BASIC SYSTEMS FOR THE GEOMAGNETIC FIELD
The system of own solenoidal fields of operator Laplace which can be used for decomposition of a geomagnetic field in a kernel of the Earth is described. Boundary conditions provide continuous transition of a field in a...
STUDY OF THE PROCESS OF PREPARATION OF STRONG EARTHQUAKES (MW > 5) ON SAKHALIN USING THE LURR METHOD
the seismic regime of southern Sakhalin before the Krillon earthquake on April 23, 2017 (Mw=5.0) was Investigated. Seismic hazard calculations were carried out within the framework of the LURR (load-unload response ratio...
GELLERSTEDT PROBLEM FOR A PARABOLIC-HYPERBOLIC EQUATION DEGENERATING TYPE AND ORDER
This paper deals with the formulation and study of boundary value Gellerstedt type problem for parabolic-hyperbolic equation with degeneration of the type and order within the area which equivalently reduced to integral...