Residual power series algorithm for fractional cancer tumor models

被引：37

作者：

Korpinar, Zeliha ^{[1
]}

Inc, Mustafa ^{[2
,3
]}

Hincal, Evren ^{[4
]}

Baleanu, Dumitru ^{[3
,5
,6
]}

机构：

[1] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey

[2] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Near East Univ, Dept Math, Mersin 10, Trnc, Turkey

[5] Cankaya Univ, Dept Math, Ankara, Turkey

[6] Inst Space Sci, Magurele, Romania

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 03期

关键词：

Residual power series method; Series solution; Caputo fractional derivative; Fractional cancer tumor models; DIFFUSION-EQUATIONS; GROWTH; SYSTEM;

D O I：

10.1016/j.aej.2020.03.044

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution. One of the advantages of this method is quick and easy calculation to find series solutions by using mathematica software package. Graphical presentations for series solutions are given to explanation of the method. The obtained outcomes explain that process is applicable and reliable method to obtain numerical solutions of fractional equations. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

引用

页码：1405 / 1412

页数：8

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