[HTML][HTML] Local fractional Sumudu decomposition method for linear partial differential equations with local fractional derivative

D Ziane, D Baleanu, K Belghaba, MH Cherif - Journal of King Saud …, 2019 - Elsevier
In the paper, a combined form of the Sumudu transform method with the Adomian
decomposition method in the sense of local fractional derivative, is proposed to solve …

New analytical method for gas dynamics equation arising in shock fronts

S Kumar, MM Rashidi - Computer Physics Communications, 2014 - Elsevier
This work suggests a new analytical technique called the fractional homotopy analysis
transform method (FHATM) for solving nonlinear homogeneous and nonhomogeneous time …

On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method

KM Saad, EHF AL-Shareef, AK Alomari… - Chinese Journal of …, 2020 - Elsevier
In this paper we consider the homotopy analysis transform method (HATM) to solve the time
fractional order Korteweg-de Vries (KdV) and Korteweg-de Vries-Burger's (KdVB) equations …

[HTML][HTML] MHD thermal boundary layer flow of a Casson fluid over a penetrable stretching wedge in the existence of nonlinear radiation and convective boundary …

M Hussain, A Ghaffar, A Ali, A Shahzad… - Alexandria Engineering …, 2021 - Elsevier
In this paper, we discuss the solution of the magneto hydrodynamics (MHD) thermal
boundary layer flow of Casson liquid over a penetrable extending wedge with ohmic heating …

Influence of wall properties on the peristaltic flow of a nanofluid: analytic and numerical solutions

M Mustafa, S Hina, T Hayat, A Alsaedi - … Journal of Heat and Mass Transfer, 2012 - Elsevier
This study is concerned with the peristaltic transport of nanofluid in a channel with complaint
walls. Transport equations involve the combined effects of Brownian motion and …

Analytical and numerical study on convection of nanofluid past a moving wedge with Soret and Dufour effects

R Md Kasmani, S Sivasankaran… - International Journal of …, 2017 - emerald.com
Purpose The purpose of this study is to investigate the Soret and Dufour effects on the
double-diffusive convective boundary layer flow of a nanofluid past a moving wedge in the …

Non-Newtonian nanofluid flow through a porous medium between two coaxial cylinders with heat transfer and variable viscosity

R Ellahi, S Aziz, A Zeeshan - Journal of Porous Media, 2013 - dl.begellhouse.com
An analysis is performed for non-Newtonian nanofluid with coaxial cylinders for constant
and space-dependent viscosity. An incompressible fluid saturates the porous medium. The …

Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet

M Mustafa, JA Khan, T Hayat, A Alsaedi - International Journal of Non …, 2015 - Elsevier
This article reports the laminar axisymmetric flow of nanofluid over a non-linearly stretching
sheet. The model used for nanofluid contains the simultaneous effects of Brownian motion …

Nonlinear dynamics of MEMS/NEMS resonators: analytical solution by the homotopy analysis method

F Tajaddodianfar, MRH Yazdi, HN Pishkenari - Microsystem Technologies, 2017 - Springer
Due to various sources of nonlinearities, micro/nano-electro-mechanical-system
(MEMS/NEMS) resonators present highly nonlinear behaviors including softening-or …

On the analytic solutions for squeezing flow of nanofluid between parallel disks

MMM Hashmi, T Hayat, A Alsaedi - Nonlinear Analysis: Modelling and …, 2012 - zurnalai.vu.lt
This article investigates the magnetohydrodynamic squeezing flow of nanofluid between
parallel disks. Governing partial differential equations are converted into ordinary differential …