ON APPROXIMATE SOLUTIONS TO A COUPLED ONE-DIMENSIONAL TIME FRACTIONAL KELLER-SEGEL MODEL

Abstract

The Daftardar-Jafari method (DJM) given by Daftardar-Gejji and Jafari is used to obtain approximate solutions to the time-fractional attraction Keller-Segel (TF-AKS) model in this work. The implementation of the method on the TF-AKS model is in two folds with respect to the chemotactic sensitivity function (????), namely: (????) and (????) ????. The method consists of a very simple
algorithm which is used to generate iterative solutions of the model. The result obtained further demonstrates the efficiency and reliability of the method, hence giving it a wider applicability to timefractional order partial differential equations from mathematical biology