Next Article in Journal
Banach Subspaces of Continuous Functions Possessing Schauder Bases
Previous Article in Journal
Lie Symmetries, Optimal System and Invariant Reductions to a Nonlinear Timoshenko System
Previous Article in Special Issue
Nonlinear Gronwall–Bellman Type Inequalities and Their Applications
Article Menu

Export Article

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

An Analysis on the Fractional Asset Flow Differential Equations

1
Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
2
Centre of Excellence in Mathematics, Commission on Higher Education, Ministry of Education, Si Ayutthaya Road, Bangkok 10400, Thailand
3
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]   |  

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. 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
Figures

Figure 1

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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top