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

Authors

  • I. N. Okposo

Keywords:

Daftardar-Jafari method, time-fractional Keller-Segel model, Caputo derivative, approximate solution

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

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Published

2022-06-23

How to Cite

Okposo , I. N. (2022). ON APPROXIMATE SOLUTIONS TO A COUPLED ONE-DIMENSIONAL TIME FRACTIONAL KELLER-SEGEL MODEL. NIGERIAN JOURNAL OF SCIENCE AND ENVIRONMENT, 18(1). Retrieved from https://delsunjse.com/index.php/njse/article/view/69