The Fractional Laplacian

Bücher

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This book explores applications of the fractional Laplacian in science, engineering, and other areas where long-range interactions and conceptual or physical particle jumps resulting in an irregular diffusive or conductive flux are encountered. The book covers the fractional Laplacian in one, two, three, and arbitrary dimensions and develops a numerical framework for solving differential equations involving the fractional Laplacian. It presents physical and mathematical concepts as well as detailed mathematical derivations.