Differential Equations on Fractals

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Measure, energy, and metric -- Laplacian -- Spectrum of the laplacian -- Postcritically finite fractals -- Further topics.

Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs

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The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in

Differential Equations on Fractals

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Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplac

Fractional Dynamics

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The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this

Fractal-Based Methods in Analysis

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The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie a