Titlebook: Nonlocal and Fractional Operators; Luisa Beghin,Francesco Mainardi,Roberto Garrappa Book 2021 The Editor(s) (if applicable) and The Author

hardheaded

,Sinc Methods for Lévy–Schrödinger Equations,y stable probability distributions. The corresponding Sturm–Liouville (SL) problem for the fractional Schrödinger equation is formulated and solved on . satisfying natural Dirichlet boundary conditions. The eigenvalues and eigenfunctions are computed in a numerical Sinc approximation applied to the

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Connotation

Some New Exact Results for Non-linear Space-Fractional Diffusivity Equations,bout nonlocal space-fractional generalizations of diffusion models. The obtained equation can be simply linearized into a classical space-fractional diffusion equation, widely studied in the literature. We consider the case of a power-law pressure-dependence of the permeability coefficient. In this

Demonstrate

A Note on Hermite-Bernoulli Polynomials,rnoulli class, and we also show how to represent the action of the operators involving fractional derivatives. In particular, by using the method of generating function, we introduce generalized Bernoulli polynomials by operating in their generating function with the formalism of the two-variable He

松驰

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The Pearcey Equation: From the Salpeter Relativistic Equation to Quasiparticles,ed as a mathematical tool to address the problem of nonlocality concerning the pseudo-differential operator in the Hamiltonian of the Salpeter equation. The Pearcey equation can be considered as a . to relativity since it embeds the peculiar features of the relativistic evolution even if it looks ve

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连锁,连串

The PDD Method for Solving Linear, Nonlinear, and Fractional PDEs Problems,roblems. This Domain Decomposition (DD) method is based on a suitable probabilistic representation of the solution given in the form of an expectation which, in turns, involves the solution of a Stochastic Differential Equation (SDE). While the structure of the SDE depends only upon the correspondin