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- 15.1 The problem of interpretation
- 15.2 Geometrical interpretation
- 15.2.1 Shadows on a fence
- 15.2.2 Tangent vector and gradient
- 15.2.3 Fractals and fractional derivatives
- 15.3 Fractal and other derivatives
- 15.3.1 Fractal derivative
- 15.3.2 New fractal derivative
- 15.3.3 Generalized fractional Laplaian
- 15.3.4 Fractional derivatives in q-calculus
- 15.3.5 Fuzzy fractional operators
- 15.4 Probabilistic interpretation
- 15.4.1 Probabilistic view on the G-L derivative
- 15.4.2 Stochastic interpretation of R-L integral
- 15.4.3 Fractional powers of operators
- 15.5 Classical mechanic interpretation
- 15.5.1 A car with a fractional speedometer
- 15.5.2 Dynamical systems
- 15.5.3 Coarse-grained-time dynamics
- 15.5.4 Gradient systems
- 15.5.5 Chaos kinetics
- 15.5.6 Continuum mechanics
- 15.5.7 Viscoelasticity
- 15.5.8 Turbulence
- 15.5.9 Plasma
- 15.6 Quantum mechanic interpretations
- 15.6.1 Feynman path integrals
- 15.6.2 Lippmann-Schwinger equation
- 15.6.3 Time-fractional evolution operator
- 15.6.4 A role of environment
- 15.6.5 Standard learning tasks
- 15.6.6 Fractional Laplacian in a bounded domain
- 15.6.7 Application to nuclear physics problems
- 15.7 Concluding remarks
- 15.7.1 Hidden variables
- 15.7.2 Complexity
- 15.7.3 Finishing the book
- References