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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 9 > No. 4

 
   

Fractional Stochastic Modelling of an Investment Model

PP: 727-744
doi:10.18576/pfda/090415
Author(s)
Ebenezer Bonyah,
Abstract
Financial models have become very crucial in many economics because of the uncertainties within the environment. Investors are always looking for better returns on their investments and therefore, a good financial model is important to any society. In this study, a financial mathematical model is examined in the context of fractional stochastic. The existence and uniqueness of solution of the financial model is studied. A new numerical approach based on Newton polynomial interpolation is utilised to numerically investigate the financial model’s dynamics. It is observed that fractional order derivative affects the dynamics of the financial model. The Atangana -Baleanu operator shows better prediction comparing to the Caputo and Caputo-Fabrizio operators. It is suggested that other complex dynamics can be investigated using the newly developed numerical scheme based on the Atangana-Baleanu operator.

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