Advanced Local Fractional Calculus and Its Applications
Contents
Preliminary Results
Local Fractional Calculus of One-variable Function
Local Fractional Partial Derivatives and Fractal Lagrange Multipliers Method
Multiple Local Fractional Integrals of Functions on Cantor Set
Local Fractional Line Integrals, Surface Integrals and Tensors
Local Fractional Calculus of Variations
A New Optimization Method for Functions on Cantor Set
Local Fractional Euler–Lagrange Equations
Applications of Local Fractional Calculus to Mechanics
Local Fractional Functional Analysis & Its Applications
Contents
Chapter 1 Preliminaries
Chapter 2 Fundamentals of local fractional calculus of real variables
Chapter 3 Fundamentals of local fractional calculus of complex variables
Chapter 4 Generalized fractal spaces
Chapter 5 Local fractional Fourier series
Chapter 6 Yang-Fourier transforms
Chapter 7 Yang-Laplace Transforms
Chapter 8 Local fractional short time transforms
Chapter 9 Local fractional continuous wavelet transforms
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