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A NON-EXAUSTIVE LIST OF E-PRINTS SUBMITTED TO arXiv
from 1 November 2007 to 18 December 2007
on  FRACTIONAL CALCULUS MODELLING

arXiv:0712.1844 [ps, pdf, other]
Title: Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
Authors: Gastao S. F. Frederico, Delfim F. M. Torres
Comments: 16 pages
Subjects: Optimization and Control (math.OC); Mathematical Physics (math-ph)

arXiv:0712.1436 [ps, pdf, other]
Title: Reaction-Subdiffusion Equations for the A <--> B Reaction
Authors: F. Sagues, V.P. Shkilev, I.M. Sokolov
Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn)

arXiv:0712.0728 [ps, pdf, other]
Title: Asymptotics for first-passage times of Lévy processes and random walks
Authors: Denis Denisov, Vsevolod Shneer
Subjects: Probability (math.PR)

arXiv:0712.0240 [ps, pdf, other]
Title: Non-Markovian diffusion equations and processes: analysis and simulations
Authors: Antonio Mura, Murad S. Taqqu, Francesco Mainardi
Comments: 45 pages, 19 figures
Subjects: Mathematical Physics (math-ph)

. arXiv:0712.0168 [ps, pdf, other]
Title: A novel numerical technique used in the solution of ordinary differential equations with a mixture of integer and fractional derivatives
Authors: Jacek S. Leszczynski, Tomasz Blaszczyk
Comments: 31 pages, 6 figures, 6 tables. This manuscript was sent to the Journal of Numerical Algorithms
Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)

arXiv:0711.4261 [ps, pdf, other]
Title: Some aspects of fractional diffusion equations of single and distributed order
Authors: Francesco Mainardi, Gianni Pagnini, Rudolf Gorenflo
Comments: 14 pages. International Symposium on "Analytic Function Theory, Fractional Calculus and Their Applications", University of Victoria (British Columbia, Canada), 22-27 August 2005
Journal-ref: Applied Mathematics and Computation, Vol. 187, No 1, pp. 295-305 (2007)
Subjects: Mathematical Physics (math-ph)

 arXiv:0711.4246 [ps, pdf, other]
Title: Evolution equations of the probabilistic generalization of the Voigt profile function
Authors: Gianni Pagnini, Francesco Mainardi
Comments: 9 pages. 2 Figures Conference ``Special Functions, Information Theory and Mathematical Physics'',Granada, Spain, September 17-19 2007
Subjects: Mathematical Physics (math-ph)
.
. . arXiv:0711.3779 [ps, pdf, other]
Title: The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
Authors: Francesco Mainardi, Gianni Pagnini
Comments: 18 pages. Conference "Special Functions: Asymptotic Analysis and Computation", Santander (Spain) on 4-6 July, 2005
Journal-ref: Journal of Computational and Applied Mathematics: Vol 207, No 2, pp.245-257 (2007)
Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV)

arXiv:0711.2567 [ps, pdf, other]
Title: Fractional Derivative as Fractional Power of Derivative
Authors: Vasily E. Tarasov
Comments: 20 pages, LaTeX
Journal-ref: International Journal of Mathematics 18 (2007) 281-299
Subjects: Chaotic Dynamics (nlin.CD)

. arXiv:0711.2117 [ps, pdf, other]
Title: Fractional Stability
Authors: Vasily E. Tarasov
Comments: 5 pages, LaTeX
Subjects: Classical Physics (physics.class-ph)

. arXiv:0711.1947 [ps, pdf, other]
Title: Pre-asymptotic corrections to fractional diffusion equations
Authors: M. Marseguerra, A. Zoia
Comments: 6 pages, 3 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)

. arXiv:0711.1783 [ps, pdf, other]
Title: Electromagnetic Fields on Fractals
Authors: Vasily E. Tarasov
Comments: 15 pages, LaTeX
Journal-ref: Modern Physics Letters A 21 (2006) 1587-1600
Subjects: High Energy Physics - Theory (hep-th)

arXiv:0711.0859 [ps, pdf, other]
Title: Liouville and Bogoliubov Equations with Fractional Derivatives
Authors: Vasily E. Tarasov
Comments: 14 pages, LaTeX
Journal-ref: Modern Physics Letters B 21 (2006) 237-248
Subjects: Mathematical Physics (math-ph)

. arXiv:0711.0826 [ps, pdf, other]
Title: Continuous Limit of Discrete Systems with Long-Range Interaction
Authors: Vasily E. Tarasov
Comments: 23 pages, LaTeX
Journal-ref: Journal of Physics A 39 (2006) 14895-14910
Subjects: Classical Physics (physics.class-ph)

arXiv:0711.0665 [ps, pdf, other]
Title: A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics
Authors: Antonio Mura, Francesco Mainardi
Comments: 14 pages, 1 figure, Presented at GF07: Linear and Non-linear Theory of Generalized Functions and Its Applications, The Banach center Bedlewo, Poland, Seprember 2-8 2007
Subjects: Probability (math.PR); Mathematical Physics (math-ph)

arXiv:0711.0645 [ps, pdf, other]
Title: Non-conservative Noether's theorem for fractional action-like variational problems with intrinsic and observer times
Authors: Gastao S. F. Frederico, Delfim F. M. Torres
Comments: The original publication is available at this http URL, Int. J. Ecol. Econ. Stat., Vol. 9, Nr F07, 2007, pp. 74-82
Journal-ref: Int. J. Ecol. Econ. Stat., Vol. 9, Nr. F07, 2007, pp. 74--82
Subjects: Optimization and Control (math.OC); Mathematical Physics (math-ph)

arXiv:0711.0609 [ps, pdf, other]
Title: Fractional conservation laws in optimal control theory
Authors: Gastao S. F. Frederico, Delfim F. M. Torres
Comments: The original publication is available at this http URL Nonlinear Dynamics
Subjects: Optimization and Control (math.OC); Mathematical Physics (math-ph)

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