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Fractional Diffusion Equations and Anomalous Diffusion

book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering;

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Stochastic Models for Fractional Calculus

monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. In this book, we will see;

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Fractional Differential Equations

fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional;

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Fractional-Order Models for Nuclear Reactor Analysis

Fractional-Order Models for Nuclear Reactor Analysis presents fractional modeling issues in the context of anomalous diffusion;

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Time Fractional Differential Equations

solving real-world problems such as the anomalous diffusion in heterogeneous media. The studies of fractional partial differential;

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Fractional-in-Time Semilinear Parabolic Equations and Applications

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional;

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Statistical Inference for Fractional Diffusion Processes

point of view. This book deals with Fractional Diffusion Processes and statistical inference for such stochastic processes. The main focus;

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Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic;

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Distribution of Statistical Observables for Anomalous and Nonergodic Diffusions

of statistical observables and stochastic systems and scientists in a broad range of fields interested in anomalous diffusion, especially applied;

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Basic Theory of Fractional Differential Equations

-Stokes equations and fractional diffusion equations.;

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Conformable Dynamic Equations on Time Scales

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and;

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Conformable Dynamic Equations on Time Scales

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and;

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Critical Parabolic-Type Problems

abstract evolutionary equations, with applications to the Navier-Stokes system, the quasi-geostrophic equation, and fractional reaction-diffusion;

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Diffusion and Reactions in Fractals and Disordered Systems

Fractal structures are found everywhere in nature, and as a consequence anomalous diffusion has far reaching implications in a host;

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Stochastic Differential Equations and Diffusion Processes

Stochastic Differential Equations and Diffusion Processes;

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Transport Processes Primer

of diffusion in mixtures in terms of species parcel motion and separation, the introduction of Fick's and fractional diffusion laws with reference to;

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Linear Fractional Diffusion Wave Equation for Scientists and Engineers

dependence between the flux and the gradient of the transported quantity with the long-tail power kernel results in the time-fractional diffusion;

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Modeling Anomalous Diffusion: From Statistics to Mathematics

This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models;

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Fractional Equations and Models

Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments;

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A Closer Look at the Diffusion Equation

solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with;

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Degenerate Nonlinear Diffusion Equations

coefficient and the other is provided by the vanishing of the diffusion coefficient on subsets of positive measure of the domain. From the;

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Numerical Bifurcation Analysis for Reaction-Diffusion Equations

thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion;

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Diffusion in Solids

of diffusion, diffusion in dilute alloys, diffusion in a concentration gradient, diffusion in non-metals, high diffusivity paths, and thermo- and;

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Parameter Estimation in Fractional Diffusion Models

This book is devoted to parameter estimation in diffusion models involving fractional Brownian motion and related processes. For many years;

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Fractional Calculus and Fractional Processes with Applications to Financial Economics

long-range memory, path-dependence, non-Markovian properties, self-similarity, fractal paths, and anomalous diffusion behaviour. In this book;

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Fuzzy Arbitrary Order System Fuzzy Fract

associated problems * Coverage on a variety of fuzzy fractional differential equations including structural, diffusion, and chemical problems as well;

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Fractional Calculus with Applications for Nuclear Reactor Dynamics

diffusion theory model of neutron transport and explains the role of neutron transport in reactor theory. The author discusses fractional;

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