Fractional Kinetic Equation Driven by General Space–Time Homogeneous Gaussian Noise

2019 ◽  
Vol 42 (6) ◽  
pp. 3475-3499
Author(s):  
Junfeng Liu
Keyword(s):  
Kinetic Equation ◽  
Gaussian Noise ◽  
Space Time ◽  
General Space ◽  
Fractional Kinetic Equation

FRACTIONAL KINETIC EQUATIONS INVOLVING GENERALIZED V-FUNCTION VIA LAPLACE TRANSFORM

2021 ◽  
Vol 10 (5) ◽  
pp. 2593-2610
Author(s):  
Wagdi F.S. Ahmed ◽  
D.D. Pawar ◽  
W.D. Patil
Keyword(s):  
Kinetic Equation ◽  
Laplace Transform ◽  
Kinetic Equations ◽  
Graphical Interpretation ◽  
Fractional Kinetic Equation ◽  
Fractional Kinetic Equations

In this study, a new and further generalized form of the fractional kinetic equation involving the generalized V$-$function has been developed. We have discussed the manifold generality of the generalized V$-$function in terms of the solution of the fractional kinetic equation. Also, the graphical interpretation of the solutions by employing MATLAB is given. The results are very general in nature, and they can be used to generate a large number of known and novel results.

Brans-Dicke theory in general space-time with torsion

1986 ◽  
Vol 34 (4) ◽  
pp. 1011-1013 ◽  
Author(s):  
Sung-Won Kim
Keyword(s):  
Space Time ◽  
General Space

scholarly journals Fractional kinetic equations driven by Gaussian or infinitely divisible noise

2005 ◽  
Vol 37 (2) ◽  
pp. 366-392 ◽  
Author(s):  
J. M. Angulo ◽  
V. V. Anh ◽  
R. McVinish ◽  
M. D. Ruiz-Medina
Keyword(s):  
Kinetic Equation ◽  
Kinetic Equations ◽  
Unbounded Domains ◽  
Long Range Dependence ◽  
Infinitely Divisible ◽  
Fractional Kinetic Equation ◽  
Noise Input ◽  
Spatial Operators ◽  
Fractional Kinetic Equations

In this paper, we consider a certain type of space- and time-fractional kinetic equation with Gaussian or infinitely divisible noise input. The solutions to the equation are provided in the cases of both bounded and unbounded domains, in conjunction with bounds for the variances of the increments. The role of each of the parameters in the equation is investigated with respect to second- and higher-order properties. In particular, it is shown that long-range dependence may arise in the temporal solution under certain conditions on the spatial operators.

scholarly journals General space-time clutter model for multi-channel airborne radar

2019 ◽  
Vol 2019 (20) ◽  
pp. 6434-6438
Author(s):  
Li Xinzhe ◽  
Xie Wenchong ◽  
Wang Yongliang ◽  
Ma Jie
Keyword(s):  
Space Time ◽  
Airborne Radar ◽  
General Space
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