Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel

作者：Morales Delgado V F; Gomez Aguilar J F^*; Kumar Sunil; Taneco Hernandez M A

来源：European Physical Journal Plus, 2018, 133(5): 200.

DOI：10.1140/epjp/i2018-12038-6

This paper discusses the application of analytical techniques, namely the Laplace homotopy perturbation method and the modified homotopy analysis transform method, for solving a coupled onedimensional time-fractional Keller-Segel chemotaxis model. The first method is based on a combination of the Laplace transform and homotopy methods, while the second method is an analytical technique based on the homotopy polynomial. Fractional derivatives with exponential and Mittag-Leffler laws in Liouville-Caputo sense are considered. The effectiveness of both methods is demonstrated by finding the exact solutions of the Keller-Segel chemotaxis model. Some examples have been presented in order to compare the results obtained with both fractional-order derivatives.

• 出版日期2018-5-29