Fractional Laplace Transforms - A Perspective

Abstract

A form of the Laplace transform is reviewed as a paradigm for an entire class of fractional functional transforms. Various of its properties are discussed. Such transformations should be useful in application to differential/integral equations or problems in non-extensive statistical mechanics.

5 pages, no figures, to appear in Frontiers in Physics 2014

References in corpus (3)

• On the q-analogue of Laplace transform
• Superdiffusion revisited in view of collisionless reconnection
• On the $q$-Laplace transform in the non-extensive statistical physics

Cited by in corpus (3)

• On the nature of the conformable derivative and its applications to physics
• Generalised partition functions: Inferences on phase space distributions
• Lebesgue-Riesz norm estimates for fractional Laplace transform