The fractional analysis of thermo-elasticity coupled systems with non-linear and singular nature

被引：0

作者：

Rab, Abdur ^{[1
]}

Khan, Shahbaz ^{[1
]}

Khan, Hassan ^{[1
,2
]}

Tchier, Fairouz ^{[3
]}

Jebran, Samaruddin ^{[4
]}

Tawfiq, Ferdous ^{[3
]}

Nadeem, Muhammad ^{[5
]}

机构：

[1] Abdul Wali Khan Univ, Dept Math, Mardan, Pakistan

[2] Near East Univ, Dept Math, Mersin 10, Nicosia, Turkiye

[3] King Saud Univ, Dept Math, Riyadh 11495, Saudi Arabia

[4] Kabul Univ, Kabul, Afghanistan

[5] Qujing Normal Univ, Sch Math & Stat, Qujing, Peoples R China

来源：

SCIENTIFIC REPORTS | 2024年 / 14卷 / 01期

关键词：

Fractional calculus; Caputo operator; Power series; Laplace transform; Laplace residual power series method; Fractional partial differential equation; DIFFERENTIAL-EQUATIONS; TRANSFORM;

D O I：

10.1038/s41598-024-56891-9

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：

It is mentioned that understanding linear and non-linear thermo-elasticity systems is important for understanding temperature, elasticity, stresses, and thermal conductivity. One of the most crucial aspects of the current research is the solution to these systems. The fractional form of several thermo-elastic systems is explored, and elegant solutions are provided. The solutions of fractional and integer thermo-elastic systems are further discussed using tables and diagrams. The closed contact between the LRPSM and exact solutions is displayed in the graphs. Plotting fractional problem solutions demonstrates their convergence towards integer-order problem solutions for suitable modeling. The tables confirm that greater precision is rapidly attained as the terms of the derived series solution increase. The faster convergence and stability of the suggested method support its modification for other fractional non-linear complex systems in nature.

引用

页数：20

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