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 …
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 …
Recently, Atangana proposed new operators by combining fractional and fractal calculus. These recently proposed operators, referred to as fractal–fractional operators, have been …
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 …
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 …
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 …
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 …
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 …
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 …