scholarly journals A note on Cattaneo-Hristov model with non-singular fading memory

2017 ◽  
Vol 21 (1 Part A) ◽  
pp. 1-7 ◽  
Author(s):  
Badr Alkahtani ◽  
Abdon Atangana
Keyword(s):  
Physical Properties ◽  
Numerical Solution ◽  
Elastic Medium ◽  
Exponential Decay ◽  
Fading Memory ◽  
Fractional Differentiation ◽  
Exponential Decay Law ◽  
New Equation

Using the new trend of fractional differentiation based on the concept of exponential decay law, the Cattaneo model of diffusion in elastic medium was extended by Hristov. This model displays more physical properties than the first version. However no solution of this new equation is suggested in the literature. Therefore, this paper is devoted to the analysis of numerical solution of the Cattaneo-Hristov model with non-singular fading memory.

STABILITY OF STOCHASTIC SYSTEMS WITH MEMORY

2005 ◽  
Vol 05 (02) ◽  
pp. 223-232 ◽  
Author(s):  
V. D. POTAPOV
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Stochastic Systems ◽  
Wide Band ◽  
Statistical Simulation ◽  
Statistical Moments ◽  
Fading Memory ◽  
The Stability ◽  
Systems With Memory ◽  
With Memory

Many processes in physics, biology, ecology, mechanics etc. can be modeled by Volterra integro-differential equations (VIDEs) with "fading memory". Often the behaviour of corresponding systems is perturbed by random noises. One of the main problems for the theory of stochastic Volterra integro-differential equations (SVIDEs) is connected with their stability. The present paper is devoted to the numerical solution of the stability problem for linear SVIDEs. The method is based on the statistical simulation of input random wide-band stationary processes, which are assumed in the form of "colored" noises. For each realization the numerical solution of VIDEs is found. The conclusion about the stability of the considered system SVIDE with respect to statistical moments is made on the basis of Liapunov exponents, which are calculated for statistical moments of the solution.

On the quantum foundations of the exponential decay law

1973 ◽  
Vol 15 (4) ◽  
pp. 689-704 ◽  
Author(s):  
L. Fonda ◽  
G. C. Ghirardi ◽  
A. Rimini ◽  
T. Weber
Keyword(s):  
Exponential Decay ◽  
Quantum Foundations ◽  
Exponential Decay Law

The approximation to the exponential decay law

1995 ◽  
Vol 63 (5) ◽  
pp. 439-443 ◽  
Author(s):  
H. Jakobovits ◽  
Yehuda Rothschild ◽  
J. Levitan
Keyword(s):  
Exponential Decay ◽  
Exponential Decay Law

The Exponential Decay Law in Spray De-electrification

Science ◽  
1951 ◽  
Vol 114 (2962) ◽  
pp. 368-368 ◽  
Author(s):  
C. T. O'KONSKI
Keyword(s):  
Exponential Decay ◽  
Exponential Decay Law

scholarly journals Test of the exponential decay law at short decay times using tau leptons

1996 ◽  
Vol 368 (3) ◽  
pp. 244-250 ◽  
Author(s):  
G. Alexander ◽  
J. Allison ◽  
N. Altekamp ◽  
K. Ametewee ◽  
K.J. Anderson ◽  
...  
Keyword(s):  
Exponential Decay ◽  
Tau Leptons ◽  
Decay Times ◽  
Exponential Decay Law
Sign in / Sign up

Export Citation Format

Share Document