On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law

D Kumar, J Singh, D Baleanu - Mathematical Methods in the …, 2020 - Wiley Online Library
The present article deals with a fractional extension of the vibration equation for very large
membranes with distinct special cases. The fractional derivative is considered in Atangana …

[HTML][HTML] Study of hybrid nanofluid containing graphene oxide and molybdenum disulfide nanoparticles with engine oil base fluid: A non-singular fractional approach

QH Le, Q Ali, K Al-Khaled, M Amir, S Riaz… - Ain Shams Engineering …, 2024 - Elsevier
The engine oil signifies key importance in the automobile industry. The thermal capataince
of engine oil is quite necessary to retained the peak performances. The aim of current …

A comparison of heat and mass transfer on a Walter'sB fluid via Caputo-Fabrizio versus Atangana-Baleanu fractional derivatives using the Fox-H function

KA Abro, JF Gomez-Aguilar - The European Physical Journal Plus, 2019 - epjplus.epj.org
In this research, a comparative study of modern differentiations based on singular versus
non-singular and local versus non-local kernels have been analyzed for Walter'sB liquid. In …

Characterizations of two different fractional operators without singular kernel

M Yavuz - Mathematical Modelling of Natural Phenomena, 2019 - mmnp-journal.org
In this paper, we analyze the behaviours of two different fractional derivative operators
defined in the last decade. One of them is defined with the normalized sinc function (NSF) …

Thermal stratification of rotational second-grade fluid through fractional differential operators

KA Abro, A Siyal, A Atangana - Journal of Thermal Analysis and …, 2021 - Springer
This manuscript predicts the change in temperature at a different epilimnion to the change in
temperature at a different hypolimnion. The fractional analysis on rotational second-grade …

A comprehensive review on theoretical aspects of nanofluids: Exact solutions and analysis

NA Sheikh, DL Chuan Ching, I Khan - Symmetry, 2020 - mdpi.com
In the present era, nanofluids are one of the most important and hot issue for scientists,
physicists, and mathematicians. Nanofluids have many important and updated …

A fractional and analytic investigation of thermo-diffusion process on free convection flow: an application to surface modification technology

KA Abro - The European Physical Journal Plus, 2020 - Springer
It is worth noted that soft and hard inchromizing entirely depends upon high temperature on
materials. Due to this fact, thermal diffusion process can enhance the life expectancy of tools …

Magnetized dissipative Soret effect on nonlinear radiative Maxwell nanofluid flow with porosity, chemical reaction and Joule heating

FS Bayones, AM Abd-Alla… - Waves in Random and …, 2022 - Taylor & Francis
The present research paper deals with the study of magnetized dissipative Soret of steady
viscous incompressible two-dimensional Maxwell fluid flow in a porous medium over a …

Role of non-integer and integer order differentiations on the relaxation phenomena of viscoelastic fluid

KA Abro, A Atangana - Physica Scripta, 2020 - iopscience.iop.org
The dynamics of elastic, anelastic responses and thermoelastic relaxation mechanism can
be exhibited by the viscoelastic materials. This manuscript aims to present the analytical …

Darcy-Forchheimer relation in Magnetohydrodynamic Jeffrey nanofluid flow over stretching surface.

G Rasool, A Shafiq, H Durur - Discrete & Continuous …, 2021 - search.ebscohost.com
Present article aims to investigate the heat and mass transfer developments in boundary
layer Jeffery nanofluid flow via Darcy-Forchheimer relation over a stretching surface. A …