Soret effect on MHD casson fluid over an accelerated plate with the help of constant proportional caputo fractional derivative

S Abbas, M Ahmad, M Nazar, Z Ahmad, M Amjad… - ACS …, 2024 - ACS Publications
Non-Newtonian fluid flow is significant in engineering and biomedical applications such as
thermal exchangers, electrical cooling mechanisms, nuclear reactor cooling, drug delivery …

Solution and dynamics analysis of fractal-fractional multi-scroll Chen chaotic system based on Adomain decomposition method

T Zhang, Y Zhao, X Xu, S Wu, Y Gu - Chaos, Solitons & Fractals, 2024 - Elsevier
In recent years, newly proposed fractal-fractional calculus operators have been used to
predict the chaotic behavior of some attractors, and the new operators can capture self …

Application of heat and mass transfer to convective flow of Casson fluids in a microchannel with Caputo–Fabrizio derivative approach

S Abbas, ZU Nisa, M Nazar, M Amjad, H Ali… - Arabian Journal for …, 2024 - Springer
It has been demonstrated that fractional derivatives exhibit a range of solutions that are
helpful in the engineering, medical, and manufacturing sciences. Particularly in analytical …

Thermal optimisation through the stratified bioconvective jetflow of nanofluid

L Yu, Y Li, V Puneeth, C Singh, A Singhal… - … Heat Transfer, Part B …, 2024 - Taylor & Francis
Bioconvection is a fascinating phenomenon observed in various biological systems, where
the motion of motile microorganisms generates fluid flow patterns. This article explores 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 …

Analysis of fractionalized Brinkman flow in the presence of diffusion effect

S Abbas, M Ramzan, I Inam, S Saleem, M Nazar… - Scientific Reports, 2024 - nature.com
A vertical plate experiences a dynamic flow of fractionalized Brinkman fluid governed by
fluctuating magnetic forces. This study considers heat absorption and diffusion-thermo …

Comparison of unsteady MHD flow of second grade fluid by two fractional derivatives

M Nazar, S Abbas, S Asghar, S Saleem… - … Heat Transfer, Part A …, 2024 - Taylor & Francis
A study is conducted on the unsteady motion of a free convective flow of second grade fluid,
energy transfer, and Darcy's law over an oscillatory smooth vertical plate. The study …

Analysis of a stochastic SEIuIrR epidemic model incorporating the Ornstein-Uhlenbeck process

M Mediani, A Slama, A Boudaoui, T Abdeljawad - Heliyon, 2024 - cell.com
This article aims to analyze a stochastic epidemic model SEI u I r R (Susceptible-exposed-
undetected infected-detected infected (reported-recovered) assuming that the transmission …

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 …

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 …