[HTML][HTML] Analysis of the influences of parameters in the fractional second-grade fluid dynamics

M Yavuz, N Sene, M Yıldız - Mathematics, 2022 - mdpi.com
This work proposes a qualitative study for the fractional second-grade fluid described by a
fractional operator. The classical Caputo fractional operator is used in the investigations …

Transient bioconvection and activation energy impacts on Casson nanofluid with gyrotactic microorganisms and nonlinear radiation

M Azam, N Abbas, K Ganesh Kumar… - Waves in Random and …, 2022 - Taylor & Francis
Novel applications of bioconvection and activation energy in the progress of Casson
nanomaterials with gyrotactic microorganisms involve mechanical energy, bioinformatics …

[HTML][HTML] Power law kernel analysis of MHD Maxwell fluid with ramped boundary conditions: Transport phenomena solutions based on special functions

MB Riaz, AU Rehman, J Awrejcewicz, A Akgül - Fractal and Fractional, 2021 - mdpi.com
In this paper, a new approach to find exact solutions is carried out for a generalized
unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright …

[HTML][HTML] Generalized Mittag-Leffler Kernel form solutions of free convection heat and mass transfer flow of Maxwell fluid with Newtonian heating: Prabhakar fractional …

AU Rehman, F Jarad, MB Riaz, ZH Shah - Fractal and Fractional, 2022 - mdpi.com
In this article, the effects of Newtonian heating along with wall slip condition on temperature
is critically examined on unsteady magnetohydrodynamic (MHD) flows of Prabhakar-like …

[HTML][HTML] Time fractional analysis of Casson fluid with Rabotnov exponential memory based on the generalized Fourier and Fick... s law

AU Rehman, MB Riaz, A Atangana - Scientific African, 2022 - Elsevier
A new approach to investigates the analytical solutions of the mathematical fractional
Casson fluid model that is described by the Yang-Abdel-Cattani fractional operator having …

[HTML][HTML] The role of relaxation and retardation phenomenon of Oldroyd-B fluid flow through Stehfest's and Tzou's algorithms

AU Awan, S Riaz, KA Abro, A Siddiqa, Q Ali - Nonlinear Engineering, 2022 - degruyter.com
Delayed response (delay of the elasticity) and time needed for initial stress can lead to
relaxation and retardation phenomenon; this is because of the consistent behavior of …

An Exact and Comparative Analysis of MHD Free Convection Flow of Water‐Based Nanoparticles via CF Derivative

AU Rehman, MB Riaz, ST Saeed… - Mathematical …, 2022 - Wiley Online Library
Convective flow is a self‐sustained flow with the effect of the temperature gradient. The
density is nonuniform due to the variation in temperature. The effect of the magnetic flux …

[HTML][HTML] Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration

MB Riaz, J Awrejcewicz, AU Rehman… - Advances in Difference …, 2021 - Springer
In this paper a new approach is taken to find the exact solutions for generalized unsteady
magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate and is …

Thermal deformity and thermolysis of magnetized and fractional Newtonian fluid with rheological investigation

LA Panhwer, KA Abro, IQ Memon - Physics of Fluids, 2022 - pubs.aip.org
Thermolysis and its deformities can occur at every developmental stage at all temperatures
during the process of heating, pyrolysis mechanism, and thermodynamical decompositions …

[HTML][HTML] 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 …