A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
arXiv:math/0604472 · doi:10.1007/s10509-006-9188-7
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.
LaTeX, 12 pages, corrected typos
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