Anber, AhmedDahmani, ZoubirSarikaya, Algeria Mehmet Zeki2025-10-112025-10-1120240972-05022169-012Xhttps://doi.org/10.47974/JIM-1788https://hdl.handle.net/20.500.12684/21490The conformable fractional derivatives in the sense of Khalil is considered and the Homotopy analysis method and the (G'/G)-Expansion G '/ G )-Expansion method are applied to solve the Klein- Gordon equation; new approximate solutions and new travelling wave solutions are obtained. Some numerical simulations are graphically illustrated. At the end, a conclusion is given.en10.47974/JIM-1788info:eu-repo/semantics/closedAccessConformable fractional derivativeKlein-Gordan EquationHomotopy analysis method(G'/G)-expansion methodArticle276136113702-s2.0-85207483025WOS:001359209600009Q2N/A