Fractional Calculus: An Introduction for Physicists

Introduction Functions The Fractional Derivative Friction Forces Fractional Calculus The Fractional Harmonic Oscillator Wave Equations and Parity Nonlocality and Memory Effects The Generalized Fractional Derivative Fractional Calculus in Multidimensional Space - 3D-Folded Potentials Quantum Mechanics The Fractional Schrodinger Equation with the Infinite Well Potential Uniqueness of a Fractional Derivative Fractional Spin - A Property of Particles Described with the Fractional Schrodinger Equation Factorization Symmetries The Fractional Symmetric Rigid Rotor Q-Deformed Lie Algebras and Fractional Calculus Infrared Spectroscopy of Diatomic Molecules Fractional Spectroscopy of Hadrons Magic Numbers in Atomic Nuclei Magic Numbers in Metal Clusters Fractors - Fractional Tensor Calculus Fractional Fields Gauge Invariance in Fractional Field Theories On the Origin of Space Outlook.