Analytical solution of the systems of nonlinear fractional partial differential equations using conformable Laplace transform iterative method

被引：0

作者：

Gul, Nisar ^{[1
]}

Noor, Saima ^{[2
,3
]}

Saeed, Abdulkafi Mohammed ^{[4
]}

Aldhabani, Musaad S. ^{[5
]}

Ullah, Roman ^{[6
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

[2] King Faisal Univ, Dept Basic Sci, Gen Adm Preparatory Year, POB 400, Al Hasa 31982, Saudi Arabia

[3] King Faisal Univ, Coll Sci, Dept Math & Stat, POB 400, Al Hasa 31982, Saudi Arabia

[4] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

[5] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia

[6] Higher Coll Technol, Dept Gen Studies, Dubai Women Campus, Dubai, U Arab Emirates

来源：

AIMS MATHEMATICS | 2025年 / 10卷 / 02期

关键词：

temporal-fractional differential equations; conformable Laplace transform; iterative method; conformable derivative; numerical experiments; NUMERICAL-SOLUTIONS; BVPS;

D O I：

10.3934/math.2025091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we presented the conformable Laplace transform iterative method to find the approximate solution of the systems of nonlinear temporal-fractional differential equations in the sense of the conformable derivative. The advantage of the suggested approach was to compute the solution without discretization and restrictive assumptions. Three distinct examples were provided to show the applicability and efficacy of the proposed approach. To examine the exact and approximate solutions, we utilized the 2D and 3D graphics. Furthermore, the outcomes produced in this study were consistent with the exact solutions; hence, this strategy efficiently and effectively determined exact and approximate solutions to nonlinear temporal-fractional differential equations.

引用

页码：1945 / 1966

页数：22

共 57 条

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