scholarly journals A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Hakimeh Mohammadi ◽  
Shahram Rezapour
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Equation Model ◽  
Differential Equation Model ◽  
Fractional Differential

Time Fractional Differential Equation Model With Random Derivative Order

2009 ◽  
Author(s):  
Hongguang Sun ◽  
Yangquan Chen ◽  
Wen Chen
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Diffusion Processes ◽  
Time Derivative ◽  
Equation Model ◽  
Differential Equation Model ◽  
New Model ◽  
Potential Applications ◽  
Fractional Differential ◽  
Derivative Order

This paper proposes a new type of fractional differential equation model, named time fractional differential equation model, in which noise term is included in the time derivative order. The new model is applied to anomalous relaxation and diffusion processes suffering noisy field. The analysis and numerical simulation results show that our model can well describes the feature of these processes. We also find that the scale parameter and the frequency of the noise play a crucial role in the behaviors of these systems. At the end, we recognize some potential applications of this new model.

scholarly journals User online consumption behaviour based on fractional differential equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Dongya Zhou ◽  
Lixia Li ◽  
Bahjat Fakieh ◽  
Ragab Ibrahim Ismail
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Consumer Behaviour ◽  
Equation Model ◽  
Differential Equation Model ◽  
Consumption Behaviour ◽  
Two Factors ◽  
Fractional Differential ◽  
The Cost ◽  
The Impact

Abstract User consumption behaviour is a subject worthy of study. Because consumers’ consumption behaviours are dynamic and with individual differences, various factors need to be considered when establishing a fractional differential equation model of users’ online consumption behaviour. The two elements, namely advertising and price are more evident in influencing consumer behaviour. Therefore, the paper establishes a product diffusion fractional differential equation model of price and advertising presence or absence to study the impact of these two factors on consumer behaviour. It turns out that ignoring the advertisement and the cost of the product is related to the characteristics of the consumer network. When there are advertising and price factors, product awareness is related to price constraints.

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