Analytical Analysis of Fractional-Order Multi-Dimensional Dispersive Partial Differential Equations

Symmetry

Praveen Agarwal¹  Kamsing Nonlaopon²  NehadAli Shah³  JaeDong Chung³  Mounirah Areshi⁴  Shuang-Shuang Zhou⁵ 

[1] Department of Mathematics, Anand International College of Engineering, Jaipur 302022, India;Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand;Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea;Mathematics Department, College of Science, University of Tabuk, Tabuk 71491, Saudi Arabia;School of Science, Hunan City University, Yiyang 413000, China;

关键词: Elzaki transform;    Adomian decomposition method;    multi-dimensional dispersive equations;    Caputo derivatives;   

DOI  :  10.3390/sym13060939

来源: DOAJ

【 摘 要 】

In this paper, a novel technique called the Elzaki decomposition method has been using to solve fractional-order multi-dimensional dispersive partial differential equations. Elzaki decomposition method results for both integer and fractional orders are achieved in series form, providing a higher convergence rate to the suggested technique. Illustrative problems are defined to confirm the validity of the current technique. It is also researched that the conclusions of the fractional-order are convergent to an integer-order result. Moreover, the proposed method results are compared with the exact solution of the problems, which has confirmed that approximate solutions are convergent to the exact solution of each problem as the terms of the series increase. The accuracy of the method is examined with the help of some examples. It is shown that the proposed method is found to be reliable, efficient and easy to use for various related problems of applied science.

【 授权许可】

Unknown