Fractional derivative modeling for sediment suspension in ice-covered channels

Wang, Feifei; Li, Zhiwei; Zhang, Yisheng; Guo, Jinjun

doi:10.1007/s11356-022-23011-x

Cited by 3 publications

(1 citation statement)

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“…Fractional order is beneficial for incorporating memory effects into the system [4]. Many studies have applied fractional derivatives to mathematical models to study memory effects in systms [5,6]. Fractional calculus has a long history, similar to traditional calculus, but its significant applications have been found recently [7].…”

Section: Introductionmentioning

confidence: 99%

Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling

Santra,

Mahapatra

2024

Phys. Scr.

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This study proposes a new mathematical model to analyze and predict the results of a political election. In general, we predict or analyze the results using statistical methods; however, to minimize the effort of the study, we propose a fractional-order modeling approach. This study proposes a model to analyze and predict general election result trends in India, focusing on the state of West Bengal. To incorporate memory into the model, we consider the Caputo fractional derivative. The model solution's positivity, boundedness, existence, and uniqueness were tested analytically. Numerical simulations were carried out to investigate the impact of the parameters and evaluate the model's performance by incorporating the implications of the previous election for realistic situations. Following this, a qualitative analysis of the performance of political parties is discussed, and a prediction of the electoral victory is obtained.

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