Senol, MehmetTasbozan, OrkunKurt, AliAta, Ayşe2024-09-192024-09-1920192357-2205https://doi.org/10.28924/APJM/6-16https://hdl.handle.net/20.500.12483/14820In this article, the tanh method and the residual power series method (RPSM) are used to obtain new exact and numerical solutions of the time-fractional Kaup-Kupershmidt equation using the conformable fractional derivative definition. This definition is simple, effective and reliable in the solution procedure of the fractional differential equations that have complicated solutions with classical fractional derivative definitions like Caputo and Rieman-Liouville. © 2019 Asia Pacific Journal of Mathematics.eninfo:eu-repo/semantics/openAccessConformable Fractional DerivativeFractional Kaup-Kupershmidt EquationResidual Power Series MethodTanh MethodArticle610.28924/APJM/6-162-s2.0-85148947538Q4