This paper addresses the Heisenberg ferromagnetic spin chain equation with beta derivative. Initially, beta derivatives and their features arepresented. Then, by submitting the generalized Kudryashov method and modifiedexp(−Ω(η))-expansion function method, dark, bright, anddark-bright soliton solutions of this equation, which can be explained with beta derivative, are procured. Thus, it seems that these methodscan supply significant outcomes in finding the exact solutions fractional differential equations with beta time derivative.
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