A NON-EXAUSTIVE LIST OF E-PRINTS SUBMITTED TO arXiv
from January 2007 to Octobrer 2007
on  FRACTIONAL CALCULUS MODELLING

 arXiv:0710.2053 [ps, pdf, other]
Title: Fokker-Planck Equation for Fractional Systems
Authors: Vasily E. Tarasov
Journal-ref: International Journal of Modern Physics B 21 (2007) 955-967
Subjects: Statistical Mechanics (cond-mat.stat-mech)
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arXiv:0710.1807 [ps, pdf, other]
Title: Fractional Statistical Mechanics
Authors: Vasily E. Tarasov
Comments: 18 pages, LaTeX, 1 figure
Journal-ref: Chaos 16 (2006) 033108
Subjects: Statistical Mechanics (cond-mat.stat-mech)

arXiv:0710.0145 [ps, pdf, other]
Title: Applications of integral transforms in fractional diffusion processes
Authors: Francesco Mainardi
Comments: 11 Pages. Paper with added notes based on an invited lecture: 3rd International ISAAC Congress, Free University of Berlin, 20-25 August 2001 (Sub-session 1.3: Integral Transforms and Applications)
Journal-ref: Integral Transforms and Special Functions, Vol 15, No 6, pp. 477-484 (2004)
Subjects: Probability (math.PR); Complex Variables (math.CV)

arXiv:0710.0809 [ps, pdf, other]
Title: The Fractional Chapman-Kolmogorov Equation
Authors: Vasily E. Tarasov
Comments: 12 pages, LaTeX
Journal-ref: Modern Physics Letters B 21 (2007) 163-174
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn)

arXiv:0709.1919 [ps, pdf, other]
Title: Symmetric $\alpha$-stable subordinators and Cauchy problems
Authors: Erkan Nane
Comments: 7 pages, survey paper, changes to the initial use of fractional Cauchy problem
Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

arXiv:0709.3990 [ps, pdf, other]
Title: Fractional Diffusion Processes: Probability Distributions and Continuous Time Random Walk
Authors: Rudolf Gorenflo, Francesco Mainardi
Comments: 24 pages, 3 figures, 10 eps files
Journal-ref: Springer Lecture Notes in Physics, No 621, Berlin 2003, pp. 148-166
Subjects: Statistical Mechanics (cond-mat.stat-mech)

arXiv:0709.0341 [ps, pdf, other]
Title: Anomalous diffusion coefficient in disordered media from NMR relaxation
Authors: A. E. Sitnitsky
Comments: LaTex, 26 p.,Statistical Mechanics Research, ed. Byung-Soo Kim, Nova, 2008
Subjects: Soft Condensed Matter (cond-mat.soft)

. arXiv:0708.3213 [ps, pdf, other]
Title: Continuous Time Random Walks in periodic systems: fluid limit and fractional differential equations on the circle
Authors: Ivan Calvo, B. A. Carreras, R. Sanchez, B. Ph. van Milligen
Comments: 13 pages, 1 figure
Subjects: Statistical Mechanics (cond-mat.stat-mech)

. arXiv:0708.2265 [ps, pdf, other]
Title: Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions
Authors: R. K. Saxena, A. M. Mathai, H. J. Haubold
Comments: 22 pages, LaTeX
Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph)

arXiv:0708.1690 [ps, pdf, other]
Title: On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
Authors: Dumitru Baleanu, Sami I. Muslih, Eqab M. Rabei
Comments: 14 pages, LATEX. accepted for publication in Nonlinear Dynamics
Subjects: Mathematical Physics (math-ph)

. arXiv:0708.1433 [ps, pdf, other]
Title: On exact solutions of a class of fractional Euler-Lagrange equations
Authors: Dumitru Baleanu, Juan J. Trujillo
Comments: 10 pages, LATEX. in press, Nonlinear Dynamics
Subjects: Mathematical Physics (math-ph)

arXiv:0707.2582 [ps, pdf, other]
Title: Efficient Monte Carlo simulation of uncoupled continuous-time random walks and approximate solution of the fractional diffusion equation
Authors: Daniel Fulger, Enrico Scalas, Guido Germano
Comments: 4 pages, 4 figures, 1 table, presented at CEF2007 in Montreal on 14 June 2007, submitted to Phys. Rev. Lett. on 17 July 2007
Subjects: Statistical Mechanics (cond-mat.stat-mech)

. arXiv:0706.3553 [ps, pdf, other]
Title: Lévy Statistics and Anomalous Transport: Lévy flights and Subdiffusion
Authors: Ralf Metzler, Aleksei V. Chechkin, Joseph Klafter
Comments: 36 pages, 15 figures, REVTeX, Review article
Subjects: Statistical Mechanics (cond-mat.stat-mech)

arXiv:0706.2099 [pdf]
Title: Monte Carlo evaluation of FADE approach to anomalous kinetics
Authors: M. Marseguerra, A. Zoia
Comments: 13 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)

. arXiv:0706.2095 [pdf]
Title: Normal and Anomalous Transport across an Interface: Monte Carlo and Analytical Approach
Authors: M. Marseguerra, A. Zoia
Comments: 19 pages, 6 figures
Journal-ref: Annals of Nuclear Energy 33, 1396-1407 (2006)
Subjects: Statistical Mechanics (cond-mat.stat-mech)

arXiv:0706.2093 [pdf]
Title: Some Insights in Superdiffusive Transport
Authors: M. Marseguerra, A. Zoia
Comments: 14 pages, 7 figures
Journal-ref: Physica A 377, 1-14 (2007)
Subjects: Statistical Mechanics (cond-mat.stat-mech)

arXiv:0706.2092 [pdf]
Title: The Monte Carlo and fractional kinetics approaches to the underground anomalous subdiffusion of contaminants
Authors: M. Marseguerra, A. Zoia
Comments: 17 pages, 18 figures
Journal-ref: Annals of Nuclear Energy 33, 223-235 (2006)
Subjects: Statistical Mechanics (cond-mat.stat-mech)

arXiv:0706.1928 [ps, pdf, other]
Title: Generalized Continuous-Time Random Walks (CTRW), Subordination by Hitting Times and Fractional Dynamics
Authors: Vassili N. Kolokoltsov
Subjects: Probability (math.PR); Analysis of PDEs (math.AP)

arXiv:0705.4417 [ps, pdf, other]
Title: Stretched exponential relaxation and ac universality in disordered dielectrics
Authors: Alexander V. Milovanov (Department of Physics and Technology, University of Tromso, Tromso, Norway), Jens Juul Rasmussen (Optics and Plasma Research Department, Riso National Laboratory, Technical University of Denmark, Roskilde, Denmark), Kristoffer Rypdal (Department of Physics and Technology, University of Tromso, Tromso, Norway)
Comments: 8 pages, 2 figures
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech)

arXiv:0705.3598 [ps, pdf, other]
Title: Pseudoprocesses governed by higher-order fractional differential equations
Authors: Luisa Beghin
Comments: Submitted for publication (March 2007)

arXiv:0705.0797 [ps, pdf, other]
Title: Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects
Authors: Rudolf Gorenflo, Francesco Mainardi
Comments: 36 pages, 3 figures (5 files eps). Invited lecture by R. Gorenflo at the 373. WE-Heraeus-Seminar on Anomalous Transport: Experimental Results and Theoretical Challenges, Physikzentrum Bad-Honnef (Germany), 12-16 July 2006; Chairmen: R. Klages, G. Radons and I.M. Sokolov
Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn)

arXiv:0704.1916 [ps, pdf, other]
Title: Solutions of certain fractional kinetic equations and a fractional diffusion equation
Authors: R.K. Saxena, A.M. Mathai, H.J. Haubold
Comments: 10 pages, LaTeX,corrected typos
Subjects: Classical Analysis and ODEs (math.CA)

. arXiv:0704.1771 [ps, pdf, other]
Title: Fractional Generalization of Kac Integral
Authors: Vasily E. Tarasov, George M. Zaslavsky
Comments: 16 pages, LaTeX
Subjects: Mathematical Physics (math-ph); Other (cond-mat.other); Chaotic Dynamics (nlin.CD); Classical Physics (physics.class-ph)

. arXiv:0704.0526 [pdf]
Title: Fractional WKB Approximation
Authors: Eqab M. Rabei, Ibrahim M. A. Altarazi, Sami I. Muslih, Dumitru Baleanu
Comments: 11 pages
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

. arXiv:0704.0519 [pdf]
Title: Hamilton-Jacobi Fractional Sequential Mechanics
Authors: Eqab M. Rabei, Bashar S. Ababneh
Comments: 12 pages
Subjects: Mathematical Physics (math-ph)
. arXiv:0704.0329 [ps, pdf, other]
Title: Solutions of fractional reaction-diffusion equations in terms of the H-function
Authors: H.J. Haubold, A.M. Mathai, R.K. Saxena
Comments: 9 pages, LaTeX, typos corrected
Subjects: Probability (math.PR); Classical Analysis and ODEs (math.CA); Statistics (math.ST)
. arXiv:0704.0320 [ps, pdf, other]
Title: Probability distributions generated by fractional diffusion equations
Authors: Francesco Mainardi, Paolo Paradisi, Rudolf Gorenflo
Comments: 46 pages, 3 figures. International Workshop on Econophysics, Budapest, July 21-27, 1997.
Subjects: Statistical Mechanics (cond-mat.stat-mech)

. arXiv:math/0703864 [ps, pdf, other]
Title: On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation
Authors: Hongjie Dong, Dong Li
Subjects: Analysis of PDEs (math.AP)

arXiv:cond-mat/0703713 [ps, pdf, other]
Title: Langevin Approach to Fractional Diffusion Equations including Inertial Effects
Authors: R. Friedrich, S. Eule, F. Jenko
Subjects: Statistical Mechanics (cond-mat.stat-mech) .

arXiv:hep-th/0703225 [ps, pdf, other]
Title: Hamilton-Jacobi formulation of systems within Caputo's fractional derivative
Authors: Eqab M.Rabei, Ibtesam Almayteh, Sami I. Muslih, Dumitru Baleanu
Comments: 10 pages, LATEX
Subjects: High Energy Physics - Theory (hep-th)

arXiv:math/0702520 [ps, pdf, other]
Title: Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals
Authors: Francesco Mainardi, Gianni Pagnini
Comments: 17 pages
Journal-ref: Journal of Computational and Applied Mathematics,
 Vol. 153 (2003), pp. 331-342
Subjects: Complex Variables (math.CV); History and Overview (math.HO)

arXiv:math/0702133 [ps, pdf, other]
Title: Mellin transform and subordination laws in fractional diffusion processes
Authors: Francesco Mainardi, Gianni Pagnini, Rudolf Gorenflo
Comments: 21 pages
Journal-ref: Fractional Calculus and Applied Analysis, Vol. 6 No 4 (2003), pp. 441-459
Subjects: Probability (math.PR); Mathematical Physics (math-ph)

arXiv:cond-mat/0702072 [ps, pdf, other]
Title: Discrete random walk models for space-time fractional diffusion
Authors: Rudolf Gorenflo, Francesco Mainardi, Daniele Moretti, Gianni Pagnini, Paolo Paradisi
Comments: 38 pages, 8 figures (21 eps files), 1 Table
Journal-ref: Chemical Physics, Vol. 284 No 1/2 (2002), pp. 521-541
Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn)

. arXiv:math-ph/0702065 [ps, pdf, other]
Title: Fractional Dynamics of Systems with Long-Range Space Interaction and Temporal Memory
Authors: Vasily E. Tarasov, George M. Zaslavsky
Comments: 30 pages, LaTeX
Subjects: Mathematical Physics (math-ph); Other (cond-mat.other); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD); Classical Physics (physics.class-ph)

. arXiv:math/0701455 [ps, pdf, other]
Title: Renewal processes of Mittag-Leffler and Wright type
Authors: Francesco Mainardi, Rudolf Gorenflo, Alessandro Vivoli
Comments: 31 pages, 6 figures
Journal-ref: Fractional Calculus and Applied Analysis, Vol. 8 No 1 (2005), pp. 7-38
Subjects: Probability (math.PR); Mathematical Physics (math-ph)

 
arXiv:math/0701454 [ps, pdf, other]
Title: A fractional generalization of the Poisson processes
Authors: Francesco Mainardi, Rudolf Gorenflo, Enrico Scalas
Comments: 15 pages
Journal-ref: Vietnam Journal of Mathematics, Vol. 32 SI (2004), pp. 53-64
Subjects: Probability (math.PR); Mathematical Physics (math-ph)

arXiv:cond-mat/0701132 [ps, pdf, other]
Title: Time-fractional diffusion of distributed order
Authors: Francesco Mainardi, Antonio Mura, Gianni Pagnini, Rudolf Gorenflo
Comments: 30 pages, 4 figures. International Workshop on Fractional Differentiation and its Applications (FDA06), 19-21 July 2006, Porto, Portugal. Journal of Vibration and Control, in press (2007)
Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn)

. arXiv:cond-mat/0701131 [ps, pdf, other]
Title: The two forms of fractional relaxation of distributed order
Authors: Francesco Mainardi, Antonio Mura, Rudolf Gorenflo, Mirjana Stojanović
Comments: 18 pages, 4 figures. International Symposium on Mathematical Methods in Engineering, (MME06), Ankara, Turkey, April 27-29, 2006
Journal-ref: Journal of Vibration and Control, Vol. 13, No. 9-10, pp.1249-1268 (2007)
Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn)

 arXiv:cond-mat/0701126 [ps, pdf, other]
Title: Continuous time random walk and parametric subordination in fractional diffusion
Authors: Rudolf Gorenflo, Francesco Mainardi, Alessandro Vivoli
Comments: 28 pages, 18 figures. Workshop 'In Search of a Theory of Complexity'. Denton, Texas, August 2005
Journal-ref: Chaos, Solitons and Fractals, Vol. 34 (2007), pp. 89-103
Subjects: Statistical Mechanics (cond-mat.stat-mech)

. arXiv:math-ph/0701069 [ps, pdf, other]
Title: Analytical properties and applications of the Wright function
Authors: Rudolf Gorenflo, Yuri Luchko, Francesco Mainardi
Comments: 34 pages. 3rd Workshop TMSF (Transform Methods and Special Functions)Sofia, Bulgaria, 1999
Journal-ref: Fractional Calculus and Applied Analysis, Vol. 2 No 4 (1999) 383-414
Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV)

. arXiv:math-ph/0701068 [pdf]
Title: Application of Fractional Derivative Operators to Anomalous Diffusion and Propagation Problems
Authors: Andrzej J. Turski, Barbara Atamaniuk, Ewa Turska
Comments: 11 pages, 4 figure This research is supported by KBN grant 2PO3B-126- 24
Subjects: Mathematical Physics (math-ph)