On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation

Studies in Systems, Decision and Control - Fractional Derivatives with Mittag-Leffler Kernel ◽

10.1007/978-3-030-11662-0_11 ◽

2019 ◽

pp. 175-193 ◽

Cited By ~ 7

Author(s):

Jordan Hristov

Keyword(s):

Diffusion Equation ◽

Fading Memory ◽

Equation Formulation

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Strong global attractors for nonclassical diffusion equation with fading memory

Advances in Difference Equations ◽

10.1186/s13662-017-1222-2 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Yubao Zhang ◽

Xuan Wang ◽

Chenghua Gao

Keyword(s):

Diffusion Equation ◽

Global Attractors ◽

Fading Memory ◽

Nonclassical Diffusion Equation

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Random Attractor for the Nonclassical Diffusion Equation with Fading Memory

Journal of Partial Differential Equations ◽

10.4208/jpde.v28.n3.4 ◽

2015 ◽

Vol 28 (3) ◽

pp. 253-268 ◽

Cited By ~ 2

Author(s):

Cheng Shuilin

Keyword(s):

Diffusion Equation ◽

Random Attractor ◽

Fading Memory ◽

Nonclassical Diffusion Equation

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Blow-up solutions of a time-fractional diffusion equation with variable exponents

Tbilisi Mathematical Journal ◽

10.32513/tbilisi/1578020574 ◽

2019 ◽

Vol 12 (4) ◽

pp. 149-157

Author(s):

J. Manimaran ◽

L. Shangerganesh

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variable Exponents ◽

Time Fractional Diffusion Equation

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Analytical Solution for the Transient Two-Dimensional Advection-Diffusion Equation Considering Nonlocal Closure of the Turbulent Diffusion

Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer ◽

10.1615/ichmt.2006.turbulheatmasstransf.1530 ◽

2006 ◽

Author(s):

Davidson M. Moreira ◽

Marco Tulio de Vilhena ◽

D. Buske ◽

Tiziano Tirabassi

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Turbulent Diffusion ◽

Two Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion

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PARTIAL HOMOGENIZATION OF THE DIFFUSION EQUATION WITH A DIRAC-LIKE POTENTIAL

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2020035521 ◽

2020 ◽

Vol 18 (5) ◽

pp. 507-518

Author(s):

Latifa Ait Mahiout ◽

Gregory P. Panasenko ◽

Vitaly Volpert

Keyword(s):

Diffusion Equation

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FIBONACCI COLLOCATION METHOD TO SOLVE TWO-DIMENSIONAL NONLINEAR FRACTIONAL ORDER ADVECTION-REACTION DIFFUSION EQUATION

Special Topics & Reviews in Porous Media An International Journal ◽

10.1615/specialtopicsrevporousmedia.2020028160 ◽

2019 ◽

Vol 10 (6) ◽

pp. 569-584

Author(s):

Kushal Dhar Dwivedi ◽

Rajeev ◽

Subir Das

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Fractional Order ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Two Dimensional

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On inverse source problem for time fractional diffusion equation on simple metric graph

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-2-10 ◽

2020 ◽

Vol 2020 (2) ◽

pp. 99-108

Author(s):

J.R. Khujakulov

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Metric Graph ◽

Time Fractional Diffusion Equation

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The Existence of a Boundary-Layer Stationary Solution to a Reaction–Diffusion Equation with Singularly Perturbed Neumann Boundary Condition

Moscow University Physics Bulletin ◽

10.3103/s0027134920050185 ◽

2020 ◽

Vol 75 (5) ◽

pp. 409-414

Author(s):

N. N. Nefedov ◽

N. N. Deryugina

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Diffusion Equation ◽

Stationary Solution ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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The formulation and analysis of the nine-point finite difference approximation for the neutron diffusion equation in cylindrical geometry

10.31274/rtd-180814-2761 ◽

1975 ◽

Author(s):

Hamza Khudhair Al-Dujaili

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Cylindrical Geometry ◽

Finite Difference Approximation ◽

Difference Approximation ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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A Minimum-Residual Finite Element Method for the Convection-Diffusion Equation

10.21236/ada587495 ◽

2013 ◽

Cited By ~ 2

Author(s):

Jesse Chan ◽

John A. Evans

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Minimum Residual ◽

Element Method

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