Alternative optical phase of the conformable ferromagnetic and antiferromagnetic media

Abstract

In this manuscript, we describe several types of alternative conformable magnetic curves. We consider the fractional differential geometric tools to investigate how one can deal with both geometric and physical phenomena. In particular, we focus on the α-relatively parallel formulae and alternative scalar conformable quantities. Thus, we aim to determine particular characterizations of the charged particle when its motion is governed by the Lorentz force equations and conformable fractional derivative. Moreover, we study the inextensibility and non-stretching motions of the alternative conformable curves. By doing this, we attempt to obtain both their general and particular evolution equations including ferromagnetic and antiferromagnetic evolution equations. As a result, we find an alternative phase space of the fractionally conformable evoluted ferromagnetic and antiferromagnetic media by computing the anholonomy density and total phase of the system.