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Analysis of the fractional diffusion equations described by atangana-baleanu-Caputo fractional derivative - MaRDI portal

Analysis of the fractional diffusion equations described by atangana-baleanu-Caputo fractional derivative (Q2213457)

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English	Analysis of the fractional diffusion equations described by atangana-baleanu-Caputo fractional derivative	scientific article

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scholarly article

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Analysis of the fractional diffusion equations described by atangana-baleanu-Caputo fractional derivative (English)

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Karima Abdelmalek

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Chaos, Solitons and Fractals

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publication date

1 December 2020

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zbMATH Keywords

fractional diffusion equations

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mean square displacement

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Atangana-Baleanu fractional derivative operator

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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.chaos.2019.06.036

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Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums

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Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality

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Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

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On fractional derivatives with generalized Mittag-Leffler kernels

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A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel

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Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

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A fractional Fokker–Planck equation for non-singular kernel operators

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

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Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model

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Finite difference approximations for fractional advection-dispersion flow equations

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Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel

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On the numerical solutions for the fractional diffusion equation

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A numerical solution to fractional diffusion equation for force-free case

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On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems

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Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations

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Numerical analysis and pattern formation process for space-fractional superdiffusive systems

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Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives

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Stokes' first problem for heated flat plate with Atangana-Baleanu fractional derivative

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Black-Scholes option pricing equations described by the Caputo generalized fractional derivative

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CHAOS.2019.06.036

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Sitelinks

Mathematics(1 entry)

mardi Publication:2213457

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