$A class of time-fractional diffusion equations with generalized fractional derivatives$

A class of time-fractional diffusion equations with generalized fractional derivatives

In this paper, we consider generalized fractional derivatives, which are characterized by a scale function and a weight function. It is proposed to replace the time variable with a new variable, associated with the scale and weight functions, which allows us to reduce the problems for equations with...

Tallennettuna:

Bibliografiset tiedot
Päätekijät:	Alikhanov, A. A., Алиханов, А. А.
Aineistotyyppi:	Статья
Kieli:	English
Julkaistu:	Elsevier B.V. 2022
Aiheet:	Caputo fractional derivative Erdelyi–Kober fractional derivative Fractional diffusion equation Generalized fractional derivative Hadamard fractional derivative
Linkit:	https://dspace.ncfu.ru/handle/20.500.12258/19745
Tagit:	Lisää tagi Ei tageja, Lisää ensimmäinen tagi!

Samankaltaisia teoksia

A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2023)

Higher-order approximation difference scheme for the generalized aller equation of fractional order
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2021)

Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection–diffusion equation
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2021)

On boundary value problems for fractional-order differential equations
Tekijä: Beshtokov, M. K., et al.
Julkaistu: (2022)

Numerical methods for solving the Robin boundary value problem for a generalized diffusion equation with a non-smooth solution
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2022)

Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2021)

Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2024)

Difference methods of solving non-local boundary value problems for a loaded generalized diffusion equation with bessel operator
Tekijä: Beshtokov, M. K., et al.
Julkaistu: (2022)

A high-order L2 type difference scheme for the time-fractional diffusion equation
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2021)

Numerical methods for solving boundary value problems for the generalized integro-differential modified moisture transfer equation with the bessel operator
Tekijä: Beshtokov, M. K., et al.
Julkaistu: (2022)

A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media
Tekijä: Tyrylgin, A. A., et al.
Julkaistu: (2022)

The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2021)

Partially explicit time discretization for nonlinear time fractional diffusion equations
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2022)

Data-Driven Discovery of Time Fractional Differential Equations
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2022)

A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2024)

A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen–Cahn Equation
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2023)

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2021)

Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2024)

A high-order difference scheme for the diffusion equation of multi-term and distributed orders
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2022)

Development of a hydraulic classifier used to obtain various sand fractions
Tekijä: Verisokin, A. E., et al.
Julkaistu: (2020)

First synthesis of heterocyclic allenes-benzazecine derivatives
Tekijä: Aksenov, A. V., et al.
Julkaistu: (2018)

EXPONENT SPLITTING SCHEMES FOR EVOLUTION EQUATIONS WITH FRACTIONAL POWERS OF OPERATORS
Tekijä: Vabishchevich, P. N., et al.
Julkaistu: (2023)

Catalyst-free Biginelli-type synthesis of new functionalized 4,7-dihydropyrazolo[1,5-: A] pyrimidines
Tekijä: Dotsenko, V. V., et al.
Julkaistu: (2018)

A division algorithm in a redundant residue number system using fractions
Tekijä: Chervyakov, N. I., et al.
Julkaistu: (2020)

Factorized schemes for first and second order evolution equations with fractional powers of operators
Tekijä: Vabishchevich, P. N., et al.
Julkaistu: (2022)

Comparison of modular numbers based on the chinese remainder theorem with fractional values
Tekijä: Chervyakov, N. I., et al.
Julkaistu: (2018)

Oxidative coupling of tetraalkynyltin with aldehydes leading to alkynyl ketones
Tekijä: Aksenov, N. A., et al.
Julkaistu: (2018)

Oxidative coupling of tetraalkynyltin with aldehydes leading to alkynyl ketones
Tekijä: Aksenov, N. A., et al.
Julkaistu: (2018)

A novel sign detection method in residue number system based on Chinese remainder theorem with fractional values
Tekijä: Lyakhov, P. A., et al.
Julkaistu: (2023)

Partially explicit time discretization for time fractional diffusion equation
Tekijä: Alikhanov, A. A., et al.
Julkaistu: (2022)

Ureas as a new nucleophilic reagents for SNAr amination and carbamoyl amination reactions in 1,3,7-triazapyrene series
Tekijä: Borovlev, I. V., et al.
Julkaistu: (2018)

Novel reactions of 1-cyanoacetyl-3,5-dimethylpyrazole (microreview)
Tekijä: Dotsenko, V. V., et al.
Julkaistu: (2020)

Antihypoxant effect of hydroxy- And methoxyphenyl derivatives of quinazolin-4(3H)-one
Tekijä: Manvelyan, E. A., et al.
Julkaistu: (2019)

Templated assembly of chiral medium-sized cyclic ethers via 8-endo-trig nucleophilic cyclization of cyclopropenes
Tekijä: Rubin, M. A., et al.
Julkaistu: (2018)

Tetraalkynylstannanes in the Stille cross coupling reaction: a new effective approach to arylalkynes
Tekijä: Dotsenko, V. V., et al.
Julkaistu: (2018)

Tetraalkynylstannanes in the stille cross coupling reaction: a new effective approach to arylalkynes
Tekijä: Dotsenko, V. V., et al.
Julkaistu: (2018)

Synthesis of heterofunctional 1,3,7-triazapyrene derivatives by SNH and SNAr reactions
Tekijä: Borovlev, I. V., et al.
Julkaistu: (2018)

Analgesic activity of new derivatives of quinazolinone-4
Tekijä: Manvelyan, E. A., et al.
Julkaistu: (2018)

Design reverse converter for balanced RNS with three low-cost modules
Tekijä: Lyakhov, P. A., et al.
Julkaistu: (2021)

A Diastereoselective Assembly of Tetralone Derivatives via a Tandem Michael Reaction and ipso-Substitution of the Nitro Group
Tekijä: Aksenov, N. A., et al.
Julkaistu: (2023)