Prototypical examples are symmetric \(\sigma \)-stable processes and their generators, the fractional Laplace operators \((-\triangle )^{\frac{\sigma }{2}}\). In Economy and Finance, the observed noise is not s
Moreover, such equations and the associated fractional operators allow us to develop a generalization of quantum mechanics and also to describe the motion of a chain or an array of particles that are connected by elastic springs as well as unusual diffusion pr...