A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
Classical Analysis and ODEs
2009-11-11 v2 Mathematical Physics
math.MP
Abstract
A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the concept of Laplacianness in statistics, alpha-Laplace and Mittag-Leffler stochastic processes, the concepts of infinite divisibility and geometric infinite divisibility problems in probability theory and certain fractional integrals and fractional derivatives. A number of applications are pointed out with special reference to solutions of fractional reaction and reaction-diffusion equations and their generalizations.
Keywords
Cite
@article{arxiv.math/0604472,
title = {A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations},
author = {A. M. Mathai and R. K. Saxena and H. J. Haubold},
journal= {arXiv preprint arXiv:math/0604472},
year = {2009}
}
Comments
LaTeX, 12 pages, corrected typos