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

Autor:	Mohammad Alshammari, Amjad E. Hamza, Clemente Cesarano, Elkhateeb S. Aly, Wael W. Mohammed
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional KMMS ℱ-expansion method M-truncated derivative Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 7, p 523 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7070523
Popis:	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.
Databáze:	Directory of Open Access Journals
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