TY - JOUR
T1 - Application of a hybrid method for systems of fractional order partial differential equations arising in the model of the one-dimensional Keller-Segel equation
AU - Haq, Fazal
AU - Shah, Kamal
AU - Al-Mdallal, Qasem M.
AU - Jarad, Fahd
N1 - Publisher Copyright:
© 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - 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).
AB - 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).
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U2 - 10.1140/epjp/i2019-12815-7
DO - 10.1140/epjp/i2019-12815-7
M3 - Article
AN - SCOPUS:85073205234
SN - 2190-5444
VL - 134
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 9
M1 - 461
ER -