Solvability of Some Integro-Differential Equations with Anomalous Diffusion

Nonlinear Systems and Complexity - Regularity and Stochasticity of Nonlinear Dynamical Systems ◽

10.1007/978-3-319-58062-3_1 ◽

2017 ◽

pp. 1-17 ◽

Author(s):

Vitali Vougalter ◽

Vitaly Volpert

Keyword(s):

Differential Equations ◽

Anomalous Diffusion

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Solvability of some integro-differential equations with anomalous diffusion in higher dimensions

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2019.1709970 ◽

2020 ◽

Vol 66 (1) ◽

pp. 165-179

Author(s):

Vitali Vougalter

Keyword(s):

Differential Equations ◽

Anomalous Diffusion ◽

Higher Dimensions

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Existence of stationary solutions for some integro-differential equations with anomalous diffusion

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-015-0128-6 ◽

2015 ◽

Vol 6 (4) ◽

pp. 487-501 ◽

Author(s):

Vitali Vougalter ◽

Vitaly Volpert

Keyword(s):

Differential Equations ◽

Anomalous Diffusion ◽

Stationary Solutions

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Application of Fractional Differential Equations for Modeling the Anomalous Diffusion of Contaminant from Fracture into Porous Rock Matrix with Bordering Alteration Zone

Transport in Porous Media ◽

10.1007/s11242-009-9393-2 ◽

2009 ◽

Vol 81 (2) ◽

pp. 187-205 ◽

Author(s):

Sergei Fomin ◽

Vladimir Chugunov ◽

Toshiyuki Hashida

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Anomalous Diffusion ◽

Alteration Zone ◽

Rock Matrix ◽

Porous Rock ◽

Fractional Differential

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On the Existence of Stationary Solutions for Some Systems of Integro-Differential Equations with Anomalous Diffusion

The interdisciplinary journal of Discontinuity Nonlinearity and Complexity ◽

10.5890/dnc.2016.09.007 ◽

2016 ◽

Vol 5 (3) ◽

pp. 285-295

Author(s):

Vitali Vougalter ◽

Vitaly Volpert

Keyword(s):

Differential Equations ◽

Anomalous Diffusion ◽

Stationary Solutions

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High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion

10.1142/10095 ◽

2016 ◽

Author(s):

Weihua Deng ◽

Zhijiang Zhang

Keyword(s):

Differential Equations ◽

Anomalous Diffusion ◽

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On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion

Trends in Mathematics - Pseudo-Differential Operators: Groups, Geometry and Applications ◽

10.1007/978-3-319-47512-7_9 ◽

2017 ◽

pp. 161-179 ◽

Author(s):

Vitali Vougalter ◽

Vitaly Volpert

Keyword(s):

Differential Equations ◽

Anomalous Diffusion

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Solvability of Some Integro-Differential Equations with Anomalous Diffusion in Two Dimensions

Journal of Mathematical Sciences ◽

10.1007/s10958-018-4071-y ◽

2018 ◽

Vol 235 (3) ◽

pp. 243-255 ◽

Author(s):

V. Vougalter ◽

V. Volpert

Keyword(s):

Differential Equations ◽

Anomalous Diffusion ◽

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The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4084 ◽

2016 ◽

Vol 40 (5) ◽

pp. 1637-1648 ◽

Author(s):

Santanu Saha Ray

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Complex Systems ◽

Anomalous Diffusion ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Transport Dynamics

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Semi-Markov processes, integro-differential equations and anomalous diffusion-aggregation

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/20-aihp1053 ◽

2020 ◽

Vol 56 (4) ◽

pp. 2640-2671

Author(s):

Mladen Savov ◽

Bruno Toaldo

Keyword(s):

Differential Equations ◽

Markov Processes ◽

Anomalous Diffusion ◽

Semi Markov Processes

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Solvability of some integro-differential equations with anomalous diffusion and transport

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00571-8 ◽

2021 ◽

Vol 11 (3) ◽

Author(s):

Vitali Vougalter ◽

Vitaly Volpert

Keyword(s):

Differential Equations ◽

Anomalous Diffusion

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