The Analytical Solutions to the Fractional Kraenkel-Manna-Merle System in Ferromagnetic Materials

被引：15

作者：

Alshammari, Mohammad ^{[1
]}

Hamza, Amjad E. ^{[1
]}

Cesarano, Clemente ^{[2
]}

Aly, Elkhateeb S. ^{[3
]}

Mohammed, Wael W. ^{[1
,4
]}

机构：

[1] Univ Hail, Dept Math, Coll Sci, Hail 2440, Saudi Arabia

[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

[3] Jazan Univ, Dept Math, Coll Sci, Jazan 45142, Saudi Arabia

[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 07期

关键词：

fractional KMMS; F-expansion method; M-truncated derivative; NONLINEAR EVOLUTION-EQUATIONS; TRAVELING-WAVE SOLUTIONS; RECENT PROGRESS; TANH METHOD; SEMICONDUCTORS; SOLITONS;

D O I：

10.3390/fractalfract7070523

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we examine the Kraenkel-Manna-Merle system (KMMS) with an M-truncated derivative (MTD). Our goal is to obtain rational, hyperbolic, and trigonometric solutions by using the F-expansion technique with the Riccati equation. To our knowledge, no one has studied the exact solutions to the KMMS in the presence/absence of a damping effect with an M-truncated derivative, using the F-expansion technique. The magnetic field propagation in a zero-conductivity ferromagnet is described by the KMMS; hence, solutions to this equation may provide light on several fascinating scientific phenomena. We use MATLAB to display figures in a variety of 3D and 2D formats to demonstrate the influence of the M-truncated derivative on the exact solutions to the KMMS.

引用

页数：12

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