TY - JOUR
T1 - Solving System of Conformable Fractional Differential Equations by Conformable Double Laplace Decomposition Method
AU - Alfaqeih , Suliman
AU - Kayijuka , Idrissa
JO - Journal of Partial Differential Equations
VL - 3
SP - 275
EP - 290
PY - 2020
DA - 2020/06
SN - 33
DO - http://doi.org/10.4208/jpde.v33.n3.7
UR - https://global-sci.org/intro/article_detail/jpde/17075.html
KW - Fractional differential equation, double Laplace transform, Adomian decomposition
method, conformable fractional derivative.
AB - <p style="text-align: justify;">Herein, an approach known as conformable double Laplace decomposition
method (CDLDM) is suggested for solving system of non-linear conformable fractional differential equations. The devised scheme is the combination of the conformable
double Laplace transform method (CDLTM) and, the Adomian decomposition method
(ADM). Obtained results from mathematical experiments are in full agreement with
the results obtained by other methods. Furthermore, according to the results obtained
we can conclude that the proposed method is efficient, reliable and easy to be implemented on related many problems in real-life science and engineering.</p>