Analysis for advection–diffusion problem subject to memory effects and local and nonlocal kernels: A fractional operators approach

In this communication, a familiar physical phenomenon along with a time-dependent concentration source in a one-dimensional fractional differential advection–diffusion has been worked out. The problem is supported with the boundary with initial and boundary conditions. First of all, the results for...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 37; no. 10
Main Authors Ali, Qasim, Al-Khaled, Kamel, Omar, Jiyan, Raza, Ali, Khan, Sami Ullah, Khan, M. Ijaz, Najati, S. A., Oreijah, Mowffaq, Guedri, Kamel, Galal, Ahmed M.
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 20.04.2023
World Scientific Publishing Co. Pte., Ltd
Subjects
Advection
Boundary conditions
Fourier transforms
Inspection
Mathematical analysis
Operators (mathematics)
Parameters
fractional operators
Advection diffusion
memory effects
local and nonlocal kernels
Online AccessGet full text

Cover

More Information
Summary:In this communication, a familiar physical phenomenon along with a time-dependent concentration source in a one-dimensional fractional differential advection–diffusion has been worked out. The problem is supported with the boundary with initial and boundary conditions. First of all, the results for the nondimensional classical advection–diffusion process are deliberated utilizing the Laplace coupled with finite sine-Fourier transforms analytically. Later on, the analysis is expanded for different fractional operators. The inspection of memory factors is presented through Mathcad. The impacts of the fractional (memory) parameter upon the solute concentration are discussed by making use of Mathcad15. A detailed physical significance of the fractional problem in view of the parameters is studied. It is noted that the decreasing change in concentration is associated with the larger values of noninteger parameter.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0217-9792
1793-6578
DOI:10.1142/S0217979223500996