A fractional perspective to the bond graph modelling of world economies

[1]  R. Allen American Exceptionalism as a Problem in Global History , 2014, The Journal of Economic History.

[2]  Clara-Mihaela Ionescu,et al.  The Human Respiratory System: An Analysis of the Interplay between Anatomy, Structure, Breathing and Fractal Dynamics , 2013 .

[3]  Jason Long,et al.  Intergenerational Occupational Mobility in Great Britain and the United States since 1850 , 2013 .

[4]  J. A. Tenreiro Machado,et al.  Fractional generalization of memristor and higher order elements , 2013, Commun. Nonlinear Sci. Numer. Simul..

[5]  José António Tenreiro Machado,et al.  On development of fractional calculus during the last fifty years , 2013, Scientometrics.

[6]  D. Valério,et al.  An Introduction to Fractional Control , 2012 .

[7]  Dimitri Jeltsema,et al.  Port-Hamiltonian Formulation of Systems With Memory , 2012, Proceedings of the IEEE.

[8]  J. T. Tenreiro Machado,et al.  Fractional order inductive phenomena based on the skin effect , 2012 .

[9]  K. Diethelm,et al.  Fractional Calculus: Models and Numerical Methods , 2012 .

[10]  James A. Robinson,et al.  Why nations fail ? The origins of Power , Prosperity and Poverty , 2015 .

[11]  V. E. Tarasov Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media , 2011 .

[12]  F. Mainardi,et al.  Recent history of fractional calculus , 2011 .

[13]  F. Mainardi Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .

[14]  Dimitri Jeltsema,et al.  Memristive port-Hamiltonian Systems , 2010 .

[15]  Wolfgang Borutzky,et al.  Bond Graph Methodology , 2010 .

[16]  X. Moreau,et al.  Approximation of a Fractance by a Network of Four Identical RC Cells Arranged in Gamma and a Purely Capacitive Cell , 2010 .

[17]  J. A. Tenreiro Machado,et al.  New Trends in Nanotechnology and Fractional Calculus Applications , 2010 .

[18]  Ahmed M. Soliman,et al.  Two New Families of Floating FDNR Circuits , 2010, J. Electr. Comput. Eng..

[19]  John S. Gero,et al.  A qualitative energy-based unified representation for buildings , 2010 .

[20]  Robert Smirke,et al.  As You Like It, Act 2, Scene 7. , 2009 .

[21]  Wolfgang Borutzky,et al.  Bond Graph Methodology: Development and Analysis of Multidisciplinary Dynamic System Models , 2009 .

[22]  D. Pease The New American Exceptionalism , 2009 .

[23]  J. A. Tenreiro Machado,et al.  Fractional derivatives: Probability interpretation and frequency response of rational approximations , 2009 .

[24]  J. Machado Calculation of fractional derivatives of noisy data with genetic algorithms , 2009 .

[25]  Isabel S. Jesus,et al.  Development of fractional order capacitors based on electrolyte processes , 2009 .

[26]  Leon O. Chua,et al.  Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors , 2009, Proceedings of the IEEE.

[27]  R. Williams,et al.  How We Found The Missing Memristor , 2008, IEEE Spectrum.

[28]  D. Stewart,et al.  The missing memristor found , 2008, Nature.

[29]  P. Gawthrop,et al.  Bond-graph modeling , 2007, IEEE Control Systems.

[30]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[31]  Nicholas Crafts,et al.  Steam as a General Purpose Technology: A Growth Accounting Perspective , 2004 .

[32]  J. Gero APPLICATION OF BOND GRAPH MODELS TO THE REPRESENTATION OF BUILDINGS AND THEIR USE , 2004 .

[33]  L. Chua Nonlinear circuit foundations for nanodevices. I. The four-element torus , 2003 .

[34]  Geneviève Dauphin-Tanguy,et al.  Approximation methods to embed the non-integer order models in bond graphs , 2003, Signal Process..

[35]  K. Moore,et al.  Discretization schemes for fractional-order differentiators and integrators , 2002 .

[36]  J. Stiglitz Information and the Change in the Paradigm in Economics , 2002 .

[37]  Y. K. Wong,et al.  Application of Bond Graph Models to Economics , 2001 .

[38]  James A. Robinson,et al.  The Colonial Origins of Comparative Development: An Empirical Investigation , 2000 .

[39]  K. O’Rourke Tariffs and Growth in the Late 19th Century , 2000 .

[40]  Jeffrey G. Williamson,et al.  Globalization and history : the evolution of anineteenth-century Atlantic economy , 2000 .

[41]  B. Ould Bouamama,et al.  Modelling and Simulation in Thermal and Chemical Engineering: A Bond Graph Approach , 1999 .

[42]  J. Deskur,et al.  Models of magnetic circuits and their equivalent electrical diagrams , 1999 .

[43]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[44]  I. Podlubny Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[45]  I. Podlubny Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[46]  I. Podlubny Fractional differential equations , 1998 .

[47]  S. Broadberry,et al.  The Productivity Race: British Manufacturing in International Perspective, 1850-1990 , 1997 .

[48]  J. Machado Analysis and design of fractional-order digital control systems , 1997 .

[49]  Martin Anthony,et al.  Mathematics for Economics and Finance: Mathematical models in economics , 1996 .

[50]  Peter J. Gawthrop,et al.  Metamodelling: for bond graphs and dynamic systems , 1996 .

[51]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[52]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[53]  John W. Brewer,et al.  Progress in the bond graph representations of economics and population dynamics , 1991 .

[54]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[55]  Raj Senani,et al.  On the realization of floating active elements , 1986 .

[56]  A. Oustaloup Systèmes asservis linéaires d'ordre fractionnaire : théorie et pratique , 1983 .

[57]  Pieter C. Breedveld,et al.  Thermodynamic Bond Graphs and the Problem of Thermal Inertance , 1982 .

[58]  Paul P. Craig,et al.  Bilinear, dynamic single-ports and bond graphs of economic systems , 1982 .

[59]  R. Allen International Competition in Iron and Steel, 1850–1913 , 1979, The Journal of Economic History.

[60]  P. E. Wellstead,et al.  Introduction to physical system modelling , 1979 .

[61]  L.O. Chua,et al.  Memristive devices and systems , 1976, Proceedings of the IEEE.

[62]  Alan S. Perelson,et al.  System Dynamics: A Unified Approach , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[63]  Alan S. Perelson,et al.  Introduction to Bond Graphs and Their Applications , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[64]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[65]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[66]  L. Chua Memristor-The missing circuit element , 1971 .

[67]  P. Temin General-Equilibrium Models in Economic History , 1971, The Journal of Economic History.

[68]  Leonard T. Bruton,et al.  Network Transfer Functions Using the Concept of Frequency-Dependent Negative Resistance , 1969 .

[69]  S. Melman,et al.  Dynamic Factors in Industrial Productivity. , 1957 .

[70]  F. Hayek The economic nature of the firm: The use of knowledge in society , 1945 .

[71]  S. C. BRADFORD,et al.  The Liesegang Phenomenon and Concretionary Structure in Rocks , 1916, Nature.