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The concept of Fractional Calculus is popularly believed to have stemmed from a question raised in the year 1695 by Marquis de L'Hopital to Gottfried Wilhelm Leibniz, which sought the meaning of Leibniz's notation for the derivative of order N when N = 1/2.

Equation

In his reply, dated 30 September 1695, Leibniz wrote to L'Hopital as follows:

«This is an apparent paradox from which, one day, useful consequences will be drawn»

The subject fractional calculus that is, calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.

In addition, of course, to the theories of differential, integral, and integro-differential equations, and special functions of mathematical physics as well as their extensions and generalizations in one and more variables, some of the areas of present-day applications of fractional calculus include Fluid Flow, Rheology, Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport Akin to Diffusion, Electrical Networks, Probability and Statistics, Control Theory of Dynamical Systems, Viscoelasticity, Electrochemistry of Corrosion, Chemical Physics, Optics and Signal Processing, and so on.

Fractional differentiation has drawn increasing attention in the study of so-called "anomalous" social and physical behaviors, where scaling power law of fractional order appears universal as an empirical description of such complex phenomena. It is worth noting that the standard mathematical models of integer-order derivatives, including nonlinear models, do not work adequately in many cases where power law is clearly observed. To accurately reflect the non-local, frequency- and history-dependent properties of power law phenomena, some alternative modeling tools have to be introduced such as fractional calculus.

Research in fractional differentiation is therefore inherently multi-disciplinary and its application across diverse disciplines.;

Scope

The scope of the conference is to present the state of the art on fractional systems, both on theoretical and application aspects. The growing research and development on fractional calculus in the areas of mathematics, physics and engineering, both from university and industry, motivates this international event gathering and unifying the whole community.

Scope

Major topics include but are not limited on fractional differentiation in:

Acoustic Dissipation Anomalous diffusion Applications of fractional systems Biomedical Engineering
Computational Fractional Derivative Equations Continuous Time Random Walk Control Creep
Filters Fractal Derivative and Fractals Fractional Brownian Motion Geophysics
History dependent Process History of Fractional Calculus Levy Statistics Modeling and identification
Non-Fourier Heat Conduction Nonlocal Phenomena Phase-Locked Loops Porous Media
Power Law Relaxation Rheology Riesz Potential
Signal and Imaging Processing Singularities Analysis and Integral Representations for Fractional Differential Systems Soft Matter Mechanics Special Functions and Integral Transforms Related to Fractional Calculus
Stretched Gaussian Variational Principles Vibration Viscoelasticity

Scope
Sponsors

The Organization Committee would like to cordially invite you to attend this event. We are looking forward to meeting you at the ICFDA'14, in Catania, Italy.

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