loading page

A GENERALIZED LOCAL FRACTIONAL LWR MODEL OF VEHICULAR TRAFFIC FLOW AND ITS SOLUTION
  • PRANAY GOSWAMI,
  • BHAWNA POKHRIYAL
PRANAY GOSWAMI
Ambedkar University Delhi

Corresponding Author:pranay@aud.ac.in

Author Profile
BHAWNA POKHRIYAL
Ambedkar University Delhi
Author Profile

Abstract

In this study, a generalized nonlinear local fractional Lighthill-Whitham-Richards (LFLWR) model has been developed. The local fractional variational iteration method (LFVIM) solves and analyzes the proposed model. Numerous works have been described in past to address linear LWR and linear LFLWR models. This research highlighted on generalized nonlinear LFLWR model and LFVIM is employed to derive non-differentiable solutions of the suggested model. The existence and uniqueness of the resolution of LFLWR model have also been established. Furthermore, several exemplary instances are discussed to demonstrate the success of implementing LFVIM to the proposed model. The numerical simulations for each of the cases have also been shown. Additionally, the obtained solutions of the suggested model have been compared with the solutions of the classical LWR model with non-differentiable conditions in few examples. The study demonstrates that the employed iterative scheme is quite efficient and can be utilized for obtaining the non-differentiable solution to proposed generalized nonlinear LFLWR model of traffic flow.
02 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
02 Mar 2023Submission Checks Completed
02 Mar 2023Assigned to Editor
08 Mar 2023Review(s) Completed, Editorial Evaluation Pending
13 Mar 2023Reviewer(s) Assigned
27 May 2023Editorial Decision: Revise Major
29 May 20231st Revision Received
01 Jun 2023Submission Checks Completed
01 Jun 2023Assigned to Editor
01 Jun 2023Review(s) Completed, Editorial Evaluation Pending
03 Jun 2023Reviewer(s) Assigned
20 Jul 2023Editorial Decision: Accept