Stable RBF-RA method for solving fuzzy fractional kinetic equation

2022 ◽  
Vol 12 (2) ◽  
pp. 1
Author(s):  
H. Jafari ◽  
F. Fakhr Kazemi
Keyword(s):  
Kinetic Equation ◽  
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.

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 Fractional Calculus involving (p, q)-Mathieu Type Series

2020 ◽  
Vol 5 (2) ◽  
pp. 15-34 ◽  
Author(s):  
Daljeet Kaur ◽  
Praveen Agarwal ◽  
Madhuchanda Rakshit ◽  
Mehar Chand
Keyword(s):  
Kinetic Equation ◽  
Fractional Calculus ◽  
Fractional Integral ◽  
Kinetic Equations ◽  
Integral Transforms ◽  
Type Series ◽  
Integral Formulas ◽  
Fractional Kinetic Equation ◽  
Fractional Calculus Operators ◽  
Fractional Kinetic Equations

AbstractAim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.

Solutions of fractional kinetic equation and the generalized Galué type Struve function

2019 ◽  
Vol 22 (7) ◽  
pp. 1167-1184 ◽  
Author(s):  
D. L. Suthar ◽  
Haile Habenom ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Kinetic Equation ◽  
Fractional Kinetic Equation

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

2005 ◽  
Vol 37 (02) ◽  
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.

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