Fractional calculus view of complexity : tomorrow's science

Content: Nomenclature        The Challenge of Complexity    Little Science, Big Science     Complexity     Chapter Overviews    After Thoughts    Yesterday\'s Science    Simple Linearity     Complicated Linearity     Nonlinear Dynamics    After Thoughts    Appendix Chapter 2    New Ways of Thinking    Why Now?     Through the Looking Glass     Non-differentiablity can be Physical    The size effect                 After Thoughts    Simple Fractional Operators    Random Walks     Fractional Derivatives    Fractional Rate Equations    After Thoughts    Tomorrow\'s Dynamics    What We Think We Know
 Linear Systems    126        5.2    Fractional Linear System     Applications of FLE    Control of Complexity    Fractional Logistic Equation    Fractional Leibniz Rule    After Thoughts    Appendix Chapter 5    Fractional Cooperation    HRV and Levy Statistics     Fractional Wave Equations     Turbulence    Fractional Magnetization Equations     Fractional Search Hypothesis    The Network Effect     After Thoughts     Strange Statistics    Fractional Hamiltonian Formalism    Anomalous Transport    Fractional Fokker-Planck Equation    Fractional Sturm-Liouville Theory    Fractional Kinetics Equation    Physiology and Complexity Loss    Diffusion Entropy     After Thoughts    Appendices Chapter 7                                    What have we learned?    Why the fractional calculus?     Conformation Bias and Scientific Truth    Final Thoughts