Journal
EUROPEAN PHYSICAL JOURNAL PLUS
Volume 133, Issue 5, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1140/epjp/i2018-12038-6
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Funding
- CONACyT: Catedras CONACyT para jovenes investigadores
- SNI-CONACyT
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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.
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