Modified conformable double Laplace-Sumudu approach with applications

被引：5

作者：

Ahmed, Shams A. ^{[1
,2
]}

Saadeh, Rania ^{[3
]}

Qazza, Ahmad ^{[3
]}

Elzaki, Tarig M. ^{[4
]}

机构：

[1] Jouf Univ, Dept Math, Tubarjal, Saudi Arabia

[2] Univ Gezira, Dept Math, Wad Madani, Sudan

[3] Zarqa Univ, Dept Math, Zarqa 13110, Jordan

[4] Univ Jeddah, Dept Math, Jeddah, Saudi Arabia

来源：

HELIYON | 2023年 / 9卷 / 05期

关键词：

Laplace transform; Sumudu transform; Conformable derivative; Double laplace; sumudu transform; Decomposition method; PARTIAL-DIFFERENTIAL-EQUATIONS; MODIFIED DECOMPOSITION METHOD; WAVE SOLUTIONS; TRANSFORM;

D O I：

10.1016/j.heliyon.2023.e15891

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, we combine two novel methods, the conformable double Laplace-Sumudu transform (CDLST) and the modified decomposition technique. We use the new approach called conformable double Laplace-Sumudu modified decomposition (CDLSMD) method, to solve some nonlinear fractional partial differential equations. We present the essential properties of the CDLST and produce new results. Furthermore, five interesting examples are discussed and analyzed to show the efficiency and applicability of the presented method. The results obtained show the strength of the proposed method in solving different types of problems.

引用

页数：17

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