Natural convection of NEPCM in a partial porous H-shaped cavity: ISPH simulation

AM Aly, N Alsedais - International Journal of Numerical Methods for …, 2023 - emerald.com
Purpose This paper aims to investigate the conformable fractal approaches of unsteady
natural convection in a partial layer porous H-shaped cavity suspended by nano …

Computational analysis of local fractional LWR model occurring in a fractal vehicular traffic flow

VP Dubey, D Kumar, HM Alshehri, S Dubey… - Fractal and …, 2022 - mdpi.com
In this paper, we implement computational methods, namely the local fractional natural
homotopy analysis method (LFNHAM) and local fractional natural decomposition method …

[PDF][PDF] A STUDY OF THE HEPATITIS B VIRUS INFECTION USING HILFER FRACTIONAL DERIVATIVE.

S BHATTER, K JANGID, SD PUROHIT - Proceedings of Institute of …, 2022 - proc.imm.az
Mathematical models have been used to understand the factors that control infectious
disease progression in viral infections. This work considers a fractionalized model for HBV …

Simulations and analysis of COVID-19 as a fractional model with different kernels

SW Yao, M Farman, A Akgül, KS Nisar, M Amin… - Fractals, 2023 - World Scientific
Recently, Atangana proposed new operators by combining fractional and fractal calculus.
These recently proposed operators, referred to as fractal–fractional operators, have been …

An Efficient Meshfree Numerical Technique to Solve Fractional Schamel–KdV Equation for Ion-Acoustic Solitary Waves in Dusty Plasma

B Sagar, SS Ray - IEEE Transactions on Plasma Science, 2023 - ieeexplore.ieee.org
The Schamel–KdV equation plays a vital role in studying the effect of electron trapping on
the nonlinear interaction of ion-acoustic waves in plasma and dusty plasma. This work …

Local fractional variational iteration transform method: A tool for solving local fractional partial differential equations

H Jafari, HK Jassim, A Ansari - FRACTALS (fractals), 2024 - ideas.repec.org
In this paper, we use the local fractional variational iteration transform method LFVITM to
solve a class of linear and nonlinear partial differential equations (PDEs), as well as a …

Laplace decomposition method for solving the two-dimensional diffusion problem in fractal heat transfer

H Jafari, HK Jassim, C Ünl㜠- FRACTALS (fractals), 2024 - ideas.repec.org
In this paper, the Local Fractional Laplace Decomposition Method (LFLDM) is used for
solving a type of Two-Dimensional Fractional Diffusion Equation (TDFDE). In this method …

Non-Linearity Flux of Fractional Transport Density Equation in Traffic Flow with Solutions

RM Soliby, SS Jamaian - Smart Cities, 2022 - mdpi.com
In the present paper, we derive and solve the space-fractional traffic flow model which is
considered as a generalization of the transport density equation. Based on the fundamental …

A generalized local fractional LWR model of vehicular traffic flow and its solution

B Pokhriyal, P Goswami - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this study, a generalized nonlinear local fractional Lighthill‐Whitham‐Richards (LFLWR)
model has been developed. The local fractional variational iteration method (LFVIM) solves …

Analytical solution of local fractal continuum traffic flow model

B Pokhriyal, P Goswami, K Kumar - Physica Scripta, 2023 - iopscience.iop.org
This study developed a continuum traffic flow model with local fractional derivatives. This
model overcomes the non-differentiable traffic parameters arising in vehicular traffic flow …