Soliton Solutions of Fractional Stochastic Kraenkel–Manna–Merle Equations in Ferromagnetic Materials

Fractal and Fractional

article

Wael W. Mohammed¹  M. El-Morshedy³  Clemente Cesarano⁴  Farah M. Al-Askar⁵ 

[1]Department of Mathematics, College of Science, University of Ha’il

[2]Department of Mathematics, Faculty of Science, Mansoura University

[3]Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University

[4]Section of Mathematics, International Telematic University Uninettuno

[5]Department of Mathematical Science, Collage of Science, Princess Nourah bint Abdulrahman University

关键词: stochastic KMM;    fractional KMM;    exact solutions;    mapping method60H15;    26A33;    34A08;    34A34;    83C15;    35Q51;    60H10;   

DOI  :  10.3390/fractalfract7040328

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

In this study, we take into account the fractional stochastic Kraenkel–Manna–Merle system (FSKMMS). The mapping approach may be used to produce various type of stochastic fractional solutions, such as elliptic, hyperbolic, and trigonometric functions. Solutions to the Kraenkel–Manna–Merle system equation, which explains the propagation of a magnetic field in a zero-conductivity ferromagnet, may provide insight into a variety of fascinating scientific phenomena. Moreover, we construct a variety of 3D and 2D graphics in MATLAB to illustrate the influence of the stochastic term and the conformable derivative on the exact solutions of the FSKMMS.

【 授权许可】

CC BY