Fractional Calculus View of Complexity : Tomorrow's Science

Published on Oct 9, 2015
Bruce J. West73
Estimated H-index: 73
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Abstract
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
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