Frontiers of Fractal Analysis

1. Some Remarks on Multivariate Fractal Approximation 2. Fractal Interpolation: From Global to Local, to Nonstationary and Quaternionic 3. A Study on Fractal Operator Corresponding to Non-stationary Fractal Interpolation Functions 4. Fractal Calculus 5. Perspective of Fractal Calculus on Types of Fractal Interpolation Functions 6. On the Borel Regularity of the Relative Centered Multifractal Measures 7. A Mixed Multifractal Analysis of Vector-valued Measures: Review and Extension to Densities and Regularities of Non-necessary Gibbs Cases 8. Multifractal Dimensions and Fractional Differentiation in Automated Edge Detection on Intuitionistic Fuzzy Enhanced Image

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• Física Matemática
• Algoritmos e estruturas de dados
• Teoria matemática da computação
• Física estatística
• Geometria
• Matemática aplicada
• A física quântica (mecânica quântica e teoria quântica de campos)

Fractional Calculus;Fractal Derivative;Banach Space;Complete Metric Space;Functional Equation;Backward Trajectories;Fractal Function;Intuitionistic Fuzzy;Fractal Interpolation;Borel Regular Measure;Fractal Integral;Hausdorff Measure;Quaternionic Setting;Fractional Differential Operator;IFS;Generalized Fractal Dimensions;Fractal Time Space;Cantor Set;Data Set;Edge Detection;Non-membership Degree;Borel Set;Bounded Linear Operator;Fixed Point;Schauder Basis