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A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations

A. M. Mathai·R. K. Saxena·H. J. Haubold
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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.

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BibTeXRIS

A. M. Mathai, R. K. Saxena, H. J. Haubold. 2007-01-03. A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations. https://doi.org/10.1007/s10509-006-9188-7

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