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Mathematics 2017, 5(2), 33; doi:10.3390/math5020033

An Analysis on the Fractional Asset Flow Differential Equations

Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
Centre of Excellence in Mathematics, Commission on Higher Education, Ministry of Education, Si Ayutthaya Road, Bangkok 10400, Thailand
Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 30 March 2017 / Revised: 9 June 2017 / Accepted: 12 June 2017 / Published: 16 June 2017
View Full-Text   |   Download PDF [806 KB, uploaded 16 June 2017]   |  


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. View Full-Text
Keywords: asset flow differential equations (AFDEs); Liouville-Caputo derivative; fixed point theorems; locally asymptotically stable asset flow differential equations (AFDEs); Liouville-Caputo derivative; fixed point theorems; locally asymptotically stable

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Prathumwan, D.; Sawangtong, W.; Sawangtong, P. An Analysis on the Fractional Asset Flow Differential Equations. Mathematics 2017, 5, 33.

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