On Fractional Kinetic Equations
arXiv:math/0206240 · doi:10.1023/A:1021175108964
Abstract
The subject of this paper is to derive the solution of generalized fractional kinetic equations. The results are obtained in a compact form containing the Mittag-Leffler function, which naturally occurs whenever one is dealing with fractional integral equations. The results derived in this paper provide an extension of a result given by Haubold and Mathai in a recent paper (Haubold and Mathai, 2000).
8 pages, LaTeX
Cited by in corpus (22)
- Waiting-times and returns in high-frequency financial data: an empirical study
- On Generalized Fractional Kinetic Equations
- From the area under the Bessel excursion to anomalous diffusion of cold atoms
- Fractional reaction-diffusion equations
- Unified Fractional Kinetic Equation and a Fractional Diffusion Equation
- Solution of generalized fractional reaction-diffusion equations
- Fractional Statistical Mechanics
- Reaction-diffusion systems and nonlinear waves
- Fractional Non-Linear, Linear and Sublinear Death Processes
- Solutions of certain fractional kinetic equations and a fractional diffusion equation
- Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
- Generalized Mittag-Leffler Distributions and Processes for Applications in Astrophysics and Time Series Modeling
- Solutions of fractional reaction-diffusion equations in terms of the H-function
- Computational Method for a Fractional Model of the Helium Burning Network
- Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions
- Stochastic processes via the pathway model
- Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
- Relativistic Wave Equations on the lattice: an operational perspective
- An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations
- Computational solutions of unified fractional reaction-diffusion equations with composite fractional time derivative
- Certain Fractional Kinetic Equations Involving Generalized k-Bessel Function
- Mittag-Leffler Functions to Pathway Model to Tsallis Statistics