https://doi.org/10.1140/epjp/i2019-12815-7
Regular Article
Application of a hybrid method for systems of fractional order partial differential equations arising in the model of the one-dimensional Keller-Segel equation
1
Department of Mathematics, Hazara University Mansehra, Khyber Pakhtunkhwa, Pakistan
2
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
3
Department of Mathematical Sciences, UAE University, P.O. Box 15551, Al Ain, United Arab Emirates
4
Department of Mathematics, Çankaya University, 06790, Ankara, Turkey
* e-mail: fahd@cankaya.edu.tr
Received:
10
April
2019
Accepted:
11
June
2019
Published online:
25
September
2019
In this paper, we apply a hybrid method due to coupling the Laplace transform with the Adomian decomposition method (LADM) for solving nonlinear fractional differential equations that appear in the model of Keller-Segel equations with one dimension. We explain the adopted method is with several examples. It turns out that the reliability of LADM and the reductions in computations show that LADM is widely applicable. We also compare our results with the results of homotopy decomposition method (HDM).
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
