In this work, we generalize previous results about the Fractionary Schrödinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular ...

Neste artigo consideramos a equação logarítmica fracionária não linear de Schrödinger. Usando um método de compactação, construímos uma solução global única do problema de Cauchy associado em uma estrutura funcional adequada. ...

We study a fractional version of the two-dimensional discrete nonlinear Schrodinger (DNLS) equation, where the usual discrete Laplacian is replaced by its fractional form that depends on a fractional exponent s that ...

We examine a fractional version of the discrete nonlinear Schrodinger (dnls) equation, where the usual discrete laplacian is replaced by a fractional discrete laplacian. This leads to the replacement of the usual ...

In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrödinger equations on spaces of homogeneous type. We prove the a.e. convergence when the initial data ...