Fractional Dynamics

Applications of Fractional Calculus to Dynamics of Particles, Fields and Media

Authors:

ISBN: 978-3-642-14002-0 (Print) 978-3-642-14003-7 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages i-xv

  2. Fractional Continuous Models of Fractal Distributions

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-48

      Fractional Integration and Fractals

    3. No Access

      Book Chapter

      Pages 49-71

      Hydrodynamics of Fractal Media

    4. No Access

      Book Chapter

      Pages 73-87

      Fractal Rigid Body Dynamics

    5. No Access

      Book Chapter

      Pages 89-113

      Electrodynamics of Fractal Distributions of Charges and Fields

    6. No Access

      Book Chapter

      Pages 115-122

      Ginzburg-Landau Equation for Fractal Media

    7. No Access

      Book Chapter

      Pages 123-133

      Fokker-Planck Equation for Fractal Distributions of Probability

    8. No Access

      Book Chapter

      Pages 135-150

      Statistical Mechanics of Fractal Phase Space Distributions

  3. Fractional Dynamics and Long-Range Interactions

    1. Front Matter

      Pages 151-151

    2. No Access

      Book Chapter

      Pages 153-214

      Fractional Dynamics of Media with Long-Range Interaction

    3. No Access

      Book Chapter

      Pages 215-225

      Fractional Ginzburg-Landau Equation

    4. No Access

      Book Chapter

      Pages 227-237

      Psi-Series Approach to Fractional Equations

  4. Fractional Spatial Dynamics

    1. Front Matter

      Pages 239-239

    2. No Access

      Book Chapter

      Pages 241-264

      Fractional Vector Calculus

    3. No Access

      Book Chapter

      Pages 265-291

      Fractional Exterior Calculus and Fractional Differential Forms

    4. No Access

      Book Chapter

      Pages 293-313

      Fractional Dynamical Systems

    5. No Access

      Book Chapter

      Pages 315-333

      Fractional Calculus of Variations in Dynamics

    6. No Access

      Book Chapter

      Pages 335-353

      Fractional Statistical Mechanics

  5. Fractional Temporal Dynamics

    1. Front Matter

      Pages 355-355

    2. No Access

      Book Chapter

      Pages 357-376

      Fractional Temporal Electrodynamics

    3. No Access

      Book Chapter

      Pages 377-408

      Fractional Nonholonomic Dynamics

    4. No Access

      Book Chapter

      Pages 409-453

      Fractional Dynamics and Discrete Maps with Memory

  6. Fractional Quantum Dynamics

    1. Front Matter

      Pages 455-455

    2. No Access

      Book Chapter

      Pages 457-466

      Fractional Dynamics of Hamiltonian Quantum Systems

    3. No Access

      Book Chapter

      Pages 467-490

      Fractional Dynamics of Open Quantum Systems

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