The Laplace optimized decomposition method for solving systems of partial differential equations of fractional order

W Beghami, B Maayah, S Bushnaq… - International Journal of …, 2022 - Springer
In this paper, a new hybrid technique Laplace optimized decomposition method (LODM) had
been proposed to construct the approximate solution of the nonlinear system of fractional …

Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties

U Nazir, M Sohail, U Ali, ESM Sherif, C Park, JR Lee… - Scientific Reports, 2021 - nature.com
Stretched flows have numerous applications in different industrial, biomedical and
engineering processes. Current research is conducted to examine the flow phenomenon of …

[HTML][HTML] Exact analytical wave solutions for space-time variable-order fractional modified equal width equation

U Ali, H Ahmad, J Baili, T Botmart, MA Aldahlan - Results in Physics, 2022 - Elsevier
The variable-order evolution equation is an impressive mathematical model that explain
complex dynamical problems efficiently and accurately. This latest research investigates the …

An investigation of a closed-form solution for non-linear variable-order fractional evolution equations via the fractional Caputo derivative

U Ali, M Naeem, R Alahmadi, FA Abdullah… - Frontiers in …, 2023 - frontiersin.org
Determining the non-linear traveling or soliton wave solutions for variable-order fractional
evolution equations (VO-FEEs) is very challenging and important tasks in recent research …

[PDF][PDF] Explicit Saul'yev finite difference approximation for two-dimensional fractional sub-diffusion equation

U Ali, FA Abdullah - AIP Conference Proceedings, 2018 - researchgate.net
In this paper, we discuss the development, analysis and implementation of the explicit
Saul'yev difference scheme for the solution of two-dimensional time fractional sub-diffusion …

Numerical approach for the fractional order cable model with theoretical analyses

U Ali, M Naeem, AH Ganie, D Fathima… - Frontiers in …, 2023 - frontiersin.org
This study, considers the fractional order cable model (FCM) in the sense of Riemann–
Liouville fractional derivatives (R-LFD). We use a modified implicit finite difference …

Effect of chemical reaction and viscous dissipation on MHD nanofluid flow over a horizontal cylinder: Analytical solution

N Shukla, P Rana, OA Bég, B Singh - AIP conference proceedings, 2017 - pubs.aip.org
An analytical study of the MHD boundary layer flow of electrically conducting nanofluid over
a horizontal cylinder with the effects of chemical reaction and viscous dissipation is …

[PDF][PDF] Numerical solution of energy equation in porous channels under effects of radiation field

AH Ala'a, OT Al-Bairaqdar, AT Hammodat - Iraqi Journal of Science, 2021 - iasj.net
In this paper, we built a mathematical model for convection and thermal radiation heat
transfer of fluid flowing through a vertical channel with porous medium under effects of …

Triple-diffusive magneto-nanofluid flow over a nonlinearly stretching sheet

P Sewvandi, M Dewasurendra… - Numerical Heat Transfer …, 2024 - Taylor & Francis
Magnetic nanofluid constitutes a special class of nanofluids that exhibit both magnetic and
fluid properties. Due to its extensive applications, researchers used the magneto-nanofluid …

Nonlinear fractional-order differential equations: New closed-form traveling-wave solutions

MM AlBaidani, U Ali, AH Ganie - Open Physics, 2024 - degruyter.com
The fractional-order differential equations (FO-DEs) faithfully capture both physical and
biological phenomena making them useful for describing nature. This work presents the …