1. The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials.
- Author
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Alshammari, Mohammad, Hamza, Amjad E., Cesarano, Clemente, Aly, Elkhateeb S., and Mohammed, Wael W.
- Subjects
FERROMAGNETIC materials ,ANALYTICAL solutions ,RICCATI equation ,MANNEQUINS (Figures) ,MAGNETIC fields - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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