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2009 Anomalous Diffusion via a Fractional Calculus Approach January 27, 2008 Department of Physics, University of Bologna, Italy at Abstract In recent decades the field of processes of anomalous diffusion has won more and more interest in applications to several fields of sciences, and even to finance. We will give here some views into this rapidly developing field, paying attention to some deterministic and stochastic aspects related to kinetic master equations of fractional order governing these generalized diffusion processes. Indeed, these equations contain pseudo-differential operators that can be interpreted as space and/or time derivatives of non-integer order. In particular, we outline the recent work carried out by our research group on these topics. For more information see our WEB site devoted to FRActional CALculus MOdelling: www.fracalmo.org
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