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Titlebook: An Introduction to Anomalous Diffusion and Relaxation; Luiz Roberto Evangelista,Ervin Kaminski Lenzi Textbook 2023 The Editor(s) (if appli

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,Integral Transforms and Special Functions,ssible. The first part of the chapter is dedicated to review some useful properties of the integral transforms of Fourier and Laplace, illustrating their applicability with a few examples of physical problems. The second part of the chapter reviews some basic properties of the gamma and related func
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Random Walks,h to the classical random walks or random flights problem. Then, a generalization of the random walk, starting from a nonlinear diffusion equation (or nonlinear Fokker-Planck equation), is investigated, creating the conditions to discuss the central limit theorem and a kind of its generalization. In
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Adsorption Phenomena and Anomalous Behavior,a solid and a fluid phase. The kinetic balance equations at the interface are of Langmuir’s type and their generalizations, which are mostly developed using memory kernels and also considering reversible and irreversible reactions. In these contexts, the emergence of anomalous behavior is found even
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Reaction-Diffusion Problems,with a system composed of two different kinds of particles, 1 and 2. We consider that generalized diffusion equations govern the diffusion of particles of the system in the bulk. Depending on the conditions required to describe the bulk dynamics, these generalized equations may also be related to th
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Alte Geschichte der Venenchirurgie,concise introduction to some special functions of the fractional calculus, like the Mittag-Leffler function, with its generalizations, the Wright function, the Meijer .–function, and the .function of Fox .
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