ICOMAA 2025, İstanbul, Türkiye, 7 - 09 Mayıs 2025, ss.62, (Özet Bildiri)
In this study, the nonlinear fractional integro-differential Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) equation with the conformable time-fractional derivative is analytically solved using the modified Sardar subequation method. The modified Sardar sub-equation method is an effective and practical analytical tool for obtaining exact solutions of nonlinear fractional equations, which frequently arise in mathematical physics and applied sciences. This method provides a systematic approach to derive various types of exact solutions, including solitary wave solutions and other forms. All calculations and derivations have been performed with the aid of a symbolic computation software, which facilitates the complex algebraic manipulations involved in the process. The obtained solutions contribute to the existing solution pool of the CDGKS equation and demonstrate the applicability and efficiency of the proposed method in handling nonlinear fractional integro-differential equations.