Litcius/Paper detail

Residual power series algorithm for fractional cancer tumor models

Zeliha Körpınar, Evren Hınçal, Dumitru Bǎleanu

2020Alexandria Engineering Journal50 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

Series (stratigraphy)ResidualPower seriesAlgorithmMathematicsApplied mathematicsProcess (computing)Taylor seriesComputer scienceMathematical analysisOperating systemPaleontologyBiologyFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Control Systems Design