Modelling of fluid flow through porous media using memory approach: A review

M Hashan, LN Jahan, S Imtiaz, ME Hossain - … and Computers in …, 2020 - Elsevier
Reservoir simulator is widely known in the petroleum industry for analysing and predicting
the fluid flow behaviour through porous media. Conventional mathematical approach, which …

Significance of ramped temperature in the dynamics of unsteady viscoelastic fluid subjected to lorentz force

I Khan - Frontiers in Physics, 2022 - frontiersin.org
Viscoelastic fluids, such as polymers, paints, and DNA suspensions, are almost everywhere
and very useful in the industry. This article aims to study the significance of ramped …

Some new Hermite–Hadamard type inequalities pertaining to generalized multiplicative fractional integrals

A Kashuri, SK Sahoo, M Aljuaid, M Tariq, M De La Sen - Symmetry, 2023 - mdpi.com
There is significant interaction between the class of symmetric functions and other types of
functions. The multiplicative convex function class, which is intimately related to the idea of …

Spatial fractional Darcy's law to quantify fluid flow in natural reservoirs

A Chang, HG Sun, Y Zhang, C Zheng, F Min - Physica A: Statistical …, 2019 - Elsevier
Various formulas describing non-Darcy flow have been applied to quantify fluid flow in
natural geological media, while there is no universal law or formula that can reliably …

Numerical solution for fuzzy time-fractional cancer tumor model with a time-dependent net killing rate of cancer cells

H Zureigat, M Al-Smadi, A Al-Khateeb… - International Journal of …, 2023 - mdpi.com
Simple Summary One of the most recognized phenomena is the cancer tumor which
uncontrollably grows in human cells and spreads over the other parts of the body. It spreads …

Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator–prey model with Allee effect and Holling type-III functional response

K Baisad, S Moonchai - Advances in difference equations, 2018 - Springer
The Kolmogorov model has been applied to many biological and environmental problems.
We are particularly interested in one of its variants, that is, a Gauss-type predator–prey …

An Effective New Iterative Method to Solve Conformable Cauchy Reaction‐Diffusion Equation via the Shehu Transform

S Rezapour, MI Liaqat, S Etemad - Journal of Mathematics, 2022 - Wiley Online Library
For the first time, we establish a new procedure by using the conformable Shehu transform
(CST) and an iteration method for solving fractional‐order Cauchy reaction‐diffusion …

Modeling of anomalous gas transport in heterogeneous unconventional reservoirs using a nonlinear generalized diffusivity equation

J Garcez, M Zhang, LF Ayala - Fuel, 2023 - Elsevier
Exploitation of unconventional reservoirs is enabled by multi-fractured horizontal wells.
Hydraulic fractures are created with the purpose of enhancing fluid conductivity in such low …

A novel spectral technique for 2D fractional telegraph equation models with spatial variable coefficients

HF Ahmed, WA Hashem - Journal of Taibah University for Science, 2022 - Taylor & Francis
In this paper, a class of the two-dimensional (2D) mathematical models of the time fractional
telegraph equation with spatial variable coefficients is considered. These models include the …

Dynamics of fractional-order neural networks with discrete and distributed delays

L Si, M Xiao, G Jiang, Z Cheng, Q Song, J Cao - IEEE Access, 2019 - ieeexplore.ieee.org
This paper is concerned with the stability and Hopf bifurcation of fractional-order neural
networks with discrete and distributed delays. The novelty of this paper is to take into …