An Analysis on the Fractional Asset Flow Differential Equations

Din Prathumwan, Wannika Sawangtong and Panumart Sawangtong
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Din Prathumwan: Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
Wannika Sawangtong: Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
Panumart Sawangtong: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

Mathematics, 2017, vol. 5, issue 2, 1-17

Abstract: The asset flow differential equation (AFDE) is the mathematical model that plays an essential role for planning to predict the financial behavior in the market. In this paper, we introduce the fractional asset flow differential equations (FAFDEs) based on the Liouville-Caputo derivative. We prove the existence and uniqueness of a solution for the FAFDEs. Furthermore, the stability analysis of the model is investigated and the numerical simulation is accordingly performed to support the proposed model.

Keywords: asset flow differential equations (AFDEs); Liouville-Caputo derivative; fixed point theorems; locally asymptotically stable (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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