Numerical computation of thermal and mass transportation in Williamson material utilizing modified fluxes via optimal homotopy analysis procedure
M Sohail, U Nazir - Waves in Random and Complex Media, 2023 - Taylor & Francis
Stretched flows past over a deformable surfaces has numerous applications. Utilization of
Hall and Ion slip effects has been considered to model three-dimensional flow of Williamson …
Hall and Ion slip effects has been considered to model three-dimensional flow of Williamson …
Some integral transform results for Hilfer–Prabhakar fractional derivative and analysis of free-electron laser equation
In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional
derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed …
derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed …
Stability and numerical analysis of fractional BBM-Burger equation and fractional diffusion-wave equation with Caputo derivative
This paper gives a highly efficient technique to analyse the fractional BBM-Burger equation
and fractional Diffusion-Wave equation. These equations are used to model various real-life …
and fractional Diffusion-Wave equation. These equations are used to model various real-life …
[HTML][HTML] Application of Yang homotopy perturbation transform approach for solving multi-dimensional diffusion problems with time-fractional derivatives
J Liu, M Nadeem, LF Iambor - Scientific Reports, 2023 - nature.com
In this paper, we aim to present a powerful approach for the approximate results of multi-
dimensional diffusion problems with time-fractional derivatives. The fractional order is …
dimensional diffusion problems with time-fractional derivatives. The fractional order is …
[HTML][HTML] Applications of triadic hybridized-cross nanomaterials suspended in engine oil using quadratic and linear convection with magnetic dipole
F Wang, M Sohail, U Nazir, ER El-Zahar… - Case Studies in Thermal …, 2023 - Elsevier
This work comprises the contribution of buoyancy forces, linear and quadratic convection on
cross Nano fluid under the effects of dipole effects with chemical reaction. The flow of a cross …
cross Nano fluid under the effects of dipole effects with chemical reaction. The flow of a cross …
Analytical solution for time-fractional cold plasma equations via novel computational method
The main objective of this manuscript is to examine the behavior of cold plasma system
governed by nonlinear fractional partial differential equations in the sense of Caputo …
governed by nonlinear fractional partial differential equations in the sense of Caputo …
[HTML][HTML] Fractional analysis of non-linear fuzzy partial differential equations by using a direct procedure
In this study, an accurate analytical solution is presented for fuzzy FPDEs. It is done by using
a novel method called the Laplace-residual power series (LRPSM) to build a series solution …
a novel method called the Laplace-residual power series (LRPSM) to build a series solution …
[HTML][HTML] Analytical study of one dimensional time fractional Schrödinger problems arising in quantum mechanics
M Nadeem, Y Alsayaad - Scientific Reports, 2024 - nature.com
This work presents the analytical study of one dimensional time-fractional nonlinear
Schrödinger equation arising in quantum mechanics. In present research, we establish an …
Schrödinger equation arising in quantum mechanics. In present research, we establish an …
New Solutions of time-fractional (3+ 1)-dimensional Schrödinger model with multiple nonlinearities using hybrid approach in Caputo sense
Abstract The (3+ 1)-dimensional Schrödinger model plays an importance role in capturing
highly nonlinear optical phenomena with ultra-short pulses. In this regard, the objective of …
highly nonlinear optical phenomena with ultra-short pulses. In this regard, the objective of …
investigating nonlinear fractional systems: reproducing kernel Hilbert space method
The reproducing kernel Hilbert space method (RK-HS method) is used in this research for
solving some important nonlinear systems of fractional ordinary differential equations, such …
solving some important nonlinear systems of fractional ordinary differential equations, such …