Numerical modeling of nano enhanced PCM solidification in an enclosure with metallic fin

M Sheikholeslami - Journal of Molecular Liquids, 2018 - Elsevier
Solidification process of nano enhanced phase change material (NEPCM) is simulated in
existence of radiative heat transfer. H 2 O and CuO are utilized as PCM and nanoparticles …

[HTML][HTML] Jaya optimization algorithm for transient response and stability enhancement of a fractional-order PID based automatic voltage regulator system

TA Jumani, MW Mustafa, Z Hussain, MM Rasid… - Alexandria engineering …, 2020 - Elsevier
Considering the higher flexibility in tuning process and finer control action of the fractional-
order proportional integral derivative (FOPID) controller over the conventional proportional …

Derivatives with non-singular kernels from the Caputo-Fabrizio definition and beyond: Appraising analysis with emphasis on diffusion models

J Hristov - Frontiers in fractional calculus, 2018 - benthamdirect.com
This chapter presents an attempt to collate existing data about fractional derivatives with non-
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …

[HTML][HTML] Comparison and analysis of the Atangana–Baleanu and Caputo–Fabrizio fractional derivatives for generalized Casson fluid model with heat generation and …

NA Sheikh, F Ali, M Saqib, I Khan, SAA Jan… - Results in physics, 2017 - Elsevier
Atangana and Baleanu (AB) in their recent work introduced a new version of fractional
derivatives which uses the generalized Mittag-Leffler function as the non-singular and non …

Application of Caputo-Fabrizio derivatives to MHD free convection flow of generalized Walters'-B fluid model

F Ali, M Saqib, I Khan, N Ahmad Sheikh - The European Physical Journal …, 2016 - Springer
The present article applies the idea of Caputo-Fabrizio time fractional derivatives to
magnetohydrodynamics (MHD) free convection flow of generalized Walters'-B fluid over a …

[HTML][HTML] Thermal activity of conventional Casson nanoparticles with ramped temperature due to an infinite vertical plate via fractional derivative approach

A Raza, SU Khan, S Farid, MI Khan, TC Sun… - Case Studies in Thermal …, 2021 - Elsevier
With inspired thermal characteristics and dynamic applications of nanoparticles, the
researchers are motivated to suggest multidisciplinary significances of nano-materials in …

Second-grade fluid with Newtonian heating under Caputo fractional derivative: analytical investigations via Laplace transforms

N Sene - Mathematical Modelling and Numerical Simulation with …, 2022 - dergipark.org.tr
In this paper, we consider the constructive equations of the fractional second-grade fluid.
The considered fluid model is described by the Caputo derivative. The problem consists to …

[HTML][HTML] A new model of fractional Casson fluid based on generalized Fick's and Fourier's laws together with heat and mass transfer

NA Sheikh, DLC Ching, I Khan, D Kumar… - Alexandria Engineering …, 2020 - Elsevier
A new technique for modelling the fractional model of Casson fluid is used. More exactly, the
Caputo fractional model has been developed using the generalized Fick's and Fourier's …

[PDF][PDF] Application of Shehu transform to Atangana-Baleanu derivatives

A Bokhari - J. Math. Comput. Sci, 2019 - academia.edu
Abstract Recently, Shehu Maitama and Weidong Zhao proposed a new integral transform,
namely, Shehu transform, which generalizes both the Sumudu and Laplace integral …

[HTML][HTML] Approximate Solutions of the Model Describing Fluid Flow Using Generalized ρ-Laplace Transform Method and Heat Balance Integral Method

M Yavuz, N Sene - Axioms, 2020 - mdpi.com
This paper addresses the solution of the incompressible second-grade fluid models.
Fundamental qualitative properties of the solution are primarily studied for proving the …