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

• Published in: International 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
• Language: English
• 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

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...