[HTML][HTML] Numerical solutions of time fractional Burgers' equation involving Atangana–Baleanu derivative via cubic B-spline functions

M Shafiq, M Abbas, FA Abdullah, A Majeed… - Results in Physics, 2022 - Elsevier
The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …

Computational investigation of Stefan blowing effect on flow of second-grade fluid over a curved stretching sheet

RJ Punith Gowda, HM Baskonus… - International Journal of …, 2021 - Springer
Non-Newtonian fluids have extensive range of applications in the field of industries like
plastics processing, manufacturing of electronic devices, lubrication flows, medicine and …

A CPC fractional model of the heat and mass transport mechanism in Carbon nanotubes with slip effects on velocity

S Abbas, M Nazar, SFF Gillani, M Naveed… - … Physics Letters B, 2024 - World Scientific
A fractional technique is used to evaluate the temperature, mass, and velocity flow of single
and double wall CNTs over a vertical plate. Slip boundary conditions and applied magnetic …

Effect of chemical reaction on MHD Casson natural convection flow over an oscillating plate in porous media using Caputo fractional derivative

S Abbas, ZU Nisa, M Nazar, ASM Metwally… - International Journal of …, 2025 - Elsevier
Fractional calculus is a branch of mathematics that extends the traditional definitions of
calculus to include non-integer exponents. It has been successfully used to model a variety …

[HTML][HTML] Numerical investigation of the fractional diffusion wave equation with the Mittag–Leffler function

M Shafiq, M Abbas, EK El-Shewy… - Fractal and …, 2023 - mdpi.com
A spline is a sufficiently smooth piecewise curve. B-spline functions are powerful tools for
obtaining computational outcomes. They have also been utilized in computer graphics and …

Investigations concerning the effects of thermal radiation, induced magnetic field, and chemical reaction on MHD flow through a permeable medium

M Mishra, JP Panda, SS Sahoo - International Journal of Modern …, 2024 - World Scientific
This paper focuses on the effects of heat radiation and chemical reactions on naturally
occurring convective MHD flow that conducts electricity when there is an induced magnetic …

Fractional modeling of viscous fluid over a moveable inclined plate subject to exponential heating with singular and non-singular kernels

AU Rehman, MB Riaz, W Rehman… - Mathematical and …, 2022 - mdpi.com
In this paper, a new approach to investigating the unsteady natural convection flow of
viscous fluid over a moveable inclined plate with exponential heating is carried out. The …

Analysis of active and passive control of fluid with fractional derivative

A Al Agha, AM Zidan, M Ramzan… - … Heat Transfer, Part A …, 2024 - Taylor & Francis
Numerous researchers have been drawn to the rheology of non-Newtonian fluids because
of their diverse uses in the engineering and manufacturing fields, such as lubrication, plastic …

Time fractional transient magnetohydrodynamic natural convection of hybrid nanofluid flow over an impulsively started vertical plate

S Doley, AV Kumar, J Lawrence - … Thermal Sciences: An …, 2022 - dl.begellhouse.com
The following study presents the transient magnetohydrodynamic free convective flow of
hybrid nanofluid (Cu-Ag-H 2 O/Cu-Al 2 O 3-H 2 O/Cu-MWCNT-H 2 O/Cu-TiO 2-H 2 O) past …

Geometrical investigation of cooling channels with two alternated isothermal blocks under forced convective turbulent flow

BC Feijó, C Fragassa, FB Teixeira, LAO Rocha… - Continuum Mechanics …, 2022 - Springer
The present work performs a numerical analysis of the geometrical investigation of a two-
dimensional channel with two alternated isothermal rectangular blocks subjected to …