Functional Fractional Calculus for System Identification and Controls

By Shantanu Das. 2007

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Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems (2013, background): “These models are found to be best described by FDEs [1–4].”
A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS (2010, methodology): “This mathematical phenomenon allows to describe a real object more accurately than the classical ”integer” methods, for more details see ([8], [13], [18]).”
A new operational matrix for solving fractional-order differential equations (2010, background): “Today, there are many works on fractional calculus (see for example [4,5]).”
A Fractional Model of Continuum Mechanics (2012, background): “For example, fractional derivative models used in signal and image processing (as well as control theory, dynamical systems, and economics) account for the long-range dependence of phenomena and thus result in methods which have better curve fitting, filtering, pattern recognition, edge detection, i”