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

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On Time Fractional Derivatives in Fractional Sobolev Spaces and Applications to Fractional Ordinaryy are isomorphisms between the corresponding Sobolev space of order . and the .-space. On the basis of such fractional derivatives, we formulate initial value problems for time fractional ordinary differential equations and prove the well-posedness.

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The Pearcey Equation: From the Salpeter Relativistic Equation to Quasiparticles,n. The Pearcey equation can be considered as a . to relativity since it embeds the peculiar features of the relativistic evolution even if it looks very similar to the Schrödinger equation. In light of the catastrophe theory, the Pearcey equation acquires a deeper physical meaning as a candidate for describing quasiparticles.

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,Sinc Methods for Lévy–Schrödinger Equations,that only for skewness parameters . the eigenvalues are real quantities and thus relevant in quantum mechanics. However, for skewness parameters ., the Sinc approach yields complex eigenvalues with related complex eigenfunctions, and a fortiori, real probability densities.

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