A robust scheme for Caputo variable-order time-fractional diffusion-type equations

K Sadri, K Hosseini, D Baleanu, S Salahshour… - Journal of Thermal …, 2023 - Springer
The focus of this work is to construct a pseudo-operational Jacobi collocation scheme for
numerically solving the Caputo variable-order time-fractional diffusion-type equations with …

Time‐fractional flow equations (t‐FFEs) to upscale transient groundwater flow characterized by temporally non‐Darcian flow due to medium heterogeneity

Y Xia, Y Zhang, CT Green… - Water Resources …, 2021 - Wiley Online Library
Upscaling groundwater flow is a fundamental challenge in hydrogeology. This study
proposed time‐fractional flow equations (t‐FFEs) for upscaling long‐term, transient …

Nonlinear anomalous information diffusion model in social networks

A Foroozani, M Ebrahimi - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
Modeling information diffusion in social networks is very important for predicting and
controlling diffusions. Various types of diffusion models exist considering different properties …

Effects of Damage and Fractional Derivative Operator on Creep Model of Fractured Rock

C Wang, J Liu, Y Cai, L Chen, Z Wu, J Liu - Rock Mechanics and Rock …, 2024 - Springer
The long-term stability and safety of underground engineering greatly depend on a thorough
understanding of the creep characteristics of fractured rock. This paper discusses the …

A fractional Darcian model‐based analytical solution for non‐Darcian flow toward a fully penetrating well in a confined aquifer

K Tu, Q Wu, H Zhang, X Li - International Journal for Numerical …, 2024 - Wiley Online Library
Abstract The Forchheimer and Izbash equations have been long employed to investigate the
behavior of non‐Darcian flow toward a well in various aquifer systems, but both two …

Nonlocal Models in Biology and Life Sciences: Sources, Developments, and Applications

S Pal, R Melnik - arXiv preprint arXiv:2401.14651, 2024 - arxiv.org
Nonlocality is important in realistic mathematical models of physical and biological systems
at small-length scales. It characterizes the properties of two individuals located in different …

Behavior of Solute Concentration in Porous Media

KD Dwivedi - 2021 - idr-lib.iitbhu.ac.in
It has shown experimentally that we can not model every diffusion phenomenon with the
classical diffusion equation. When the fractional calculus came into light, the researchers …