Non-Local Pseudo-Differential Operators

Details Non-Local Pseudo-Differential Operators Non-Local Pseudo-Differential Operators

1996-06-27

arxiv.org/abs/hep-th/9606183v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, latex, no figures

Scientific paper

We define, in a consistent way, non-local pseudo-differential operators acting on a space of analytic functionals. These operators include the fractional derivative case. In this context we show how to solve homogeneous and inhomogeneous equations associated with these operators. We also extend the formalism to d-dimensional space-time solving, in particular, the fractional Wave and Klein-Gordon equations.

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