Memory-dependent derivative versus fractional derivative. II: Remodelling diffusion process (Q2661021)

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English	Memory-dependent derivative versus fractional derivative. II: Remodelling diffusion process	scientific article

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scholarly article

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title

Memory-dependent derivative versus fractional derivative. II: Remodelling diffusion process (English)

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Applied Mathematics and Computation

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publication date

1 April 2021

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zbMATH Keywords

memory-dependent derivative (MDD)

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fractional derivative (FD)

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memory effect

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heat conduction equation

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Maxwell-Cattaneo model

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time-space diffusion

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2020.125627

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cites work

Surpassing the fractional derivative: concept of the memory-dependent derivative

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A novel generalized thermoelasticity model based on memory-dependent derivative

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Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative

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Thermal shock fracture of a crack in a functionally gradient half-space based on the memory-dependent heat conduction model

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An investigation on responses of thermoelastic interactions in a generalized thermoelasticity with memory-dependent derivatives inside a thick plate

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No nonlocality. No fractional derivative

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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A review of definitions for fractional derivatives and integral

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On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction

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Anomalous diffusion in comb model subject to a novel distributed order time fractional Cattaneo-Christov flux

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A new fractional finite volume method for solving the fractional diffusion equation

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A spatial-fractional thermal transport model for nanofluid in porous media

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Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations

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Space-time fractional diffusion on bounded domains

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A fast algorithm for solving the space-time fractional diffusion equation

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On a time-space fractional backward diffusion problem with inexact orders

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The generalized Cattaneo equation for the description of anomalous transport processes

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Q3421758

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General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation

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New variable-order fractional chaotic systems for fast image encryption

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Identifiers

zbMATH Open document ID

1488.35581

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DOI

10.1016/j.amc.2020.125627

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2661021