期刊
ENTROPY
卷 17, 期 6, 页码 4439-4453出版社
MDPI
DOI: 10.3390/e17064439
关键词
Keller-Segel model; Caputo-Fabrizio fractional derivative; fixed-point theorem; special solution
资金
- King Saud University, Deanship of Scientific Research, and College of Science Research Center
- Claude Leon Foundation
Using some investigations based on information theory, the model proposed by Keller and Segel was extended to the concept of fractional derivative using the derivative with fractional order without singular kernel recently proposed by Caputo and Fabrizio. We present in detail the existence of the coupled-solutions using the fixed-point theorem. A detailed analysis of the uniqueness of the coupled-solutions is also presented. Using an iterative approach, we derive special coupled-solutions of the modified system and we present some numerical simulations to see the effect of the fractional order.
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