Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory

2020 ◽  
Vol 23 (1) ◽  
Author(s):  
V. G. Zvyagin ◽  
V. P. Orlov
Keyword(s):  
Fractional Dynamics ◽  
Dynamics Model ◽  
With Memory ◽  
Weak Solvability

Time-dependent fractional dynamics with memory in quantum and economic physics

2017 ◽  
Vol 383 ◽  
pp. 579-599 ◽  
Author(s):  
Vasily E. Tarasov ◽  
Valentina V. Tarasova
Keyword(s):  
Time Dependent ◽  
Fractional Dynamics ◽  
With Memory

scholarly journals Mass Generation and Non-Euclidean Metric from Fractional Dynamics

2020 ◽  
Author(s):  
Ervin Goldfain
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Fractional Dynamics ◽  
Quantum Field ◽  
Fractional Differentiation ◽  
Quantum Processes ◽  
Mass Generation ◽  
Euclidean Metric ◽  
Standard Index ◽  
With Memory

Fractional-time Schrödinger equation (FTSE) describes the evolution of quantum processes endowed with memory effects. FTSE manifestly breaks all consistency requirements of quantum field theory (unitarity, locality and compliance with the clustering theorem), unless the order of fractional differentiation and integration ( ) falls close to the standard index . Working in the context of the minimal fractal manifold (where , ), we confirm here that FTSE approximates the attributes of gravitational metric and provides an unforeseen generation mechanism for massive fields.

FRACTIONAL DYNAMICS IN PHASE ORDERING PROCESSES

Fractals ◽  
1993 ◽  
Vol 01 (04) ◽  
pp. 947-953 ◽  
Author(s):  
HISAO HAYAKAWA
Keyword(s):  
Correlation Function ◽  
Spatial Correlation ◽  
Order Parameter ◽  
Growth Exponent ◽  
Fractional Dynamics ◽  
Dynamics Model ◽  
Spatial Correlation Function ◽  
Large N ◽  
Phase Ordering ◽  
Spherical Limit

The growth kinetics of a system with O(n) symmetric order parameter quenched into the ordered phase from the disordered phase, is considered based on the fractional dynamics model which is the time-dependent Ginzburg-Landau (TDGL) model with long-range interactions and locally non-conserved but globally conserved order parameter. A solution for the spatial correlation function in the spherical limit (n=∞) displays a multiscaling property. This multiscaling disappears in cases of large but finite n or pure non-conserved dynamics. It is found that the spatial correlation function in the fractional dynamics model is essentially the same as that in conventional conserved model for large n, while the growth exponent depends on the model.

On the weak solvability of the problem of viscoelasticity with memory

2017 ◽  
Vol 53 (2) ◽  
pp. 212-217 ◽  
Author(s):  
V. G. Zvyagin ◽  
V. P. Orlov
Keyword(s):  
With Memory ◽  
Weak Solvability
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