@Article{JPDE-35-49, author = {Bhanotar , Shailesh A. and Belgacem , Fethi Bin Muhammad}, title = {Theory and Applications of Distinctive Conformable Triple Laplace and Sumudu Transforms Decomposition Methods}, journal = {Journal of Partial Differential Equations}, year = {2021}, volume = {35}, number = {1}, pages = {49--77}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v35.n1.4}, url = {http://global-sci.org/intro/article_detail/jpde/19909.html} }