TY - JOUR
T1 - Theory and Applications of Distinctive Conformable Triple Laplace and Sumudu Transforms Decomposition Methods
AU - Bhanotar , Shailesh A.
AU - Belgacem , Fethi Bin Muhammad
JO - Journal of Partial Differential Equations
VL - 1
SP - 49
EP - 77
PY - 2021
DA - 2021/10
SN - 35
DO - http://doi.org/10.4208/jpde.v35.n1.4
UR - https://global-sci.org/intro/article_detail/jpde/19909.html
KW - Riemann-Liouville fractional integral, fractional derivative, Adomian decomposition method, conformable fractional partial derivative, conformable triple Laplace and Sumudu transform.
AB - <p style="text-align: justify;">This article presents some important results of conformable fractional partial derivatives. The conformable triple Laplace and Sumudu transform are coupled
with the Adomian decomposition method where a new method is proposed to solve
nonlinear partial differential equations in 3-space. Moreover, mathematical experiments are provided to verify the performance of the proposed method. A fundamental question that is treated in this work: is whether using the Laplace and Sumudu
transforms yield the same results? This question is amply answered in the realm of the
proposed applications.</p>