This study investigates the fractional-order Kundu–Eckhaus equation (FKEe) to find optical soliton solutions using the Riccati–Bernoulli sub-ODE technique and Backlund transformation. The research aims to provide accurate solutions for fractional-order nonlinear partial differential equations, which are more suitable for modeling complex physical phenomena than integer-order equations. The study employs a combination of analytical and computational methods to derive various types of solitary wave solutions, including bright and dark solitons, and presents them graphically to illustrate their behavior. The solutions are derived by transforming the original equation into an ordinary differential equation and solving it using a series expansion approach. The study also highlights the effectiveness of the proposed method in obtaining precise solutions for nonlinear fractional differential equations, which can be applied to various fields such as nonlinear optics, fluid mechanics, and plasma physics. The results demonstrate the versatility of the method in handling different types of fractional-order equations and provide new insights into the dynamics of fractional-order systems. The study concludes that the proposed method is a powerful tool for solving complex fractional-order nonlinear partial differential equations and contributes to the understanding of soliton wave behavior in fractional systems. The research also emphasizes the importance of fractional calculus in accurately modeling real-world phenomena and provides a framework for further exploration in this area.This study investigates the fractional-order Kundu–Eckhaus equation (FKEe) to find optical soliton solutions using the Riccati–Bernoulli sub-ODE technique and Backlund transformation. The research aims to provide accurate solutions for fractional-order nonlinear partial differential equations, which are more suitable for modeling complex physical phenomena than integer-order equations. The study employs a combination of analytical and computational methods to derive various types of solitary wave solutions, including bright and dark solitons, and presents them graphically to illustrate their behavior. The solutions are derived by transforming the original equation into an ordinary differential equation and solving it using a series expansion approach. The study also highlights the effectiveness of the proposed method in obtaining precise solutions for nonlinear fractional differential equations, which can be applied to various fields such as nonlinear optics, fluid mechanics, and plasma physics. The results demonstrate the versatility of the method in handling different types of fractional-order equations and provide new insights into the dynamics of fractional-order systems. The study concludes that the proposed method is a powerful tool for solving complex fractional-order nonlinear partial differential equations and contributes to the understanding of soliton wave behavior in fractional systems. The research also emphasizes the importance of fractional calculus in accurately modeling real-world phenomena and provides a framework for further exploration in this area.