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

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成果类型:
期刊论文
作者:
Zhou, Shuang-Shuang;Areshi, Mounirah;Agarwal, Praveen;Shah, Nehad Ali;Chung, Jae Dong;...
通讯作者:
Kamsing Nonlaopon
作者机构:
[Zhou, Shuang-Shuang] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China.
[Areshi, Mounirah] Univ Tabuk, Math Dept, Coll Sci, Tabuk 71491, Saudi Arabia.
[Agarwal, Praveen] Anand Int Coll Engn, Dept Math, Jaipur 302022, Rajasthan, India.
[Agarwal, Praveen] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 346, U Arab Emirates.
[Shah, Nehad Ali; Chung, Jae Dong] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea.
通讯机构:
[Kamsing Nonlaopon] T
These authors contributed equally to this work.<&wdkj&>Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand<&wdkj&>Author to whom correspondence should be addressed.
语种:
英文
关键词:
Elzaki transform;Adomian decomposition method;multi-dimensional dispersive equations;Caputo derivatives
期刊:
Symmetry
ISSN:
2073-8994
年:
2021
卷:
13
期:
6
页码:
939-
基金类别:
Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2017R1D1A1B05030422]
机构署名:
本校为第一机构
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 exac...

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