Mathematical Modelling of Natural Phenomena

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A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis p. 1

Yu. Luchko

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611301

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Comb Model with Slow and Ultraslow Diffusion p. 18

T. Sandev, A. Iomin, H. Kantz, R. Metzler and A. Chechkin

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611302

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A Semi-Markov Algorithm for Continuous Time Random Walk Limit Distributions p. 34

G. Gill and P. Straka

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611303

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Lévy Transport in Slab Geometry of Inhomogeneous Media p. 51

A. Iomin and T. Sandev

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611304

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Feynman-Kac Equations for Random Walks in Disordered Media p. 63

V. P. Shkilev

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611305

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Complementary Densities of Lévy Walks: Typical and Rare Fluctuations p. 76

A. Rebenshtok, S. Denisov, P. Hänggi and E. Barkai

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611306

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Reaction Spreading in Systems With Anomalous Diffusion p. 107

F. Cecconi, D. Vergni and A. Vulpiani

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611307

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Subdiffusion–Absorption Process in a System with a Thin Membrane p. 128

T. Kosztołowicz and K. D. Lewandowska

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611308

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A Mathematical Model for the Proliferation, Accumulation and Spread of Pathogenic Proteins Along Neuronal Pathways with Locally Anomalous Trapping p. 142

C. N. Angstmann, I. C. Donnelly, B. I. Henry and T. A. M. Langlands

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/20161139

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Proliferating Lévy Walkers and Front Propagation p. 157

H. Stage, S. Fedotov and V. Méndez

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611310

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A Non-Linear Model for Solute Transport, Accounting for Sub-diffusive Concentration Decline and Sorption Saturation p. 179

B. Maryshev

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611311

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Renewal Theory for a System with Internal States p. 191

M. Niemann, E. Barkai and H. Kantz

Published online: 21 June 2016

DOI: https://doi.org/10.1051/mmnp/201611312

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