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- W4322773046 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." @default.
- W4322773046 created "2023-03-03" @default.
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- W4322773046 creator A5049348187 @default.
- W4322773046 date "2023-03-02" @default.
- W4322773046 modified "2023-09-27" @default.
- W4322773046 title "A GENERALIZED LOCAL FRACTIONAL LWR MODEL OF VEHICULAR TRAFFIC FLOW AND ITS SOLUTION" @default.
- W4322773046 doi "https://doi.org/10.22541/au.167773513.39434007/v1" @default.
- W4322773046 hasPublicationYear "2023" @default.
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