Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

2015 ◽  
pp. 286-306
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Derivative ◽  
Decomposition Method ◽  
Partial Differential ◽  
Local Fractional Derivative ◽  
Linear Partial Differential Equations ◽  
Laplace Decomposition Method

Solution Non Linear Partial Differential Equations By ZMA Decomposition Method

2021 ◽  
Vol 20 ◽  
pp. 712-716
Author(s):  
Zainab Mohammed Alwan
Keyword(s):  
Exact Solution ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Decomposition Method ◽  
Integral Transformation ◽  
Nonlinear Partial Differential Equations ◽  
Adomian Decomposition Method ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Adomian Decomposition

In this survey, viewed integral transformation (IT) combined with Adomian decomposition method (ADM) as ZMA- transform (ZMAT) coupled with (ADM) in which said ZMA decomposition method has been utilized to solve nonlinear partial differential equations (NPDE's).This work is very useful for finding the exact solution of (NPDE's) and this result is more accurate obtained with compared the exact solution obtained in the literature.

scholarly journals Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Victor Fabian Morales-Delgado ◽  
José Francisco Gómez-Aguilar ◽  
Huitzilin Yépez-Martínez ◽  
Dumitru Baleanu ◽  
Ricardo Fabricio Escobar-Jimenez ◽  
...  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Derivative ◽  
Homotopy Analysis Method ◽  
Analysis Method ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Homotopy Analysis

scholarly journals Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations

2019 ◽  
Vol 4 (2) ◽  
pp. 489-502 ◽  
Author(s):  
Djelloul Ziane ◽  
Mountassir Hamdi Cherif ◽  
Carlo Cattani ◽  
Kacem Belghaba
Keyword(s):  
Partial Differential Equations ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Differential Equations ◽  
Decomposition Method ◽  
Differential Operators ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Computational Work ◽  
Laplace Decomposition Method

AbstractThe basic motivation of the present study is to extend the application of the local fractional Yang-Laplace decomposition method to solve nonlinear systems of local fractional partial differential equations. The differential operators are taken in the local fractional sense. The local fractional Yang-Laplace decomposition method (LFLDM) can be easily applied to many problems and is capable of reducing the size of computational work to find non-differentiable solutions for similar problems. Two illustrative examples are given, revealing the effectiveness and convenience of the method.

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