A New Approach for Modeling with Discrete Fractional Equations

被引：41

作者：

Atici, Ferhan M. ^{[1
]}

Atici, Mustafa ^{[2
]}

Belcher, Michael ^{[3
]}

Marshall, Dana ^{[4
]}

机构：

[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

[2] Western Kentucky Univ, Dept Comp Sci, Bowling Green, KY 42101 USA

[3] Gatton Acad Sci & Math, Bowling Green, KY 42101 USA

[4] Meharry Med Coll, Dept Pathol Anat & Cell Biol, Nashville, TN 37208 USA

来源：

FUNDAMENTA INFORMATICAE | 2017年 / 151卷 / 1-4期

关键词：

Discrete Fractional Calculus; Parameter Estimations; Data Fitting; Method of Partial Sums; DIFFERENCE-EQUATIONS;

D O I：

10.3233/FI-2017-1494

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we introduce a new class of nonlinear discrete fractional equations to model tumor growth rates in mice. For the data fitting purpose, we develop a new method which can be considered as an improved version of the partial sum method for parameter estimations. We demonstrate the goodness of fit by comparing the models with three statistical measures.

引用

页码：313 / 324

页数：12

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