OICC Press Communications in Nonlinear Analysis 2371-7920 13 1 2025 06 30 Analysis of Fractional Gas Dynamic Equations Using Atangana-Baleanu Derivative Operator 1 5 10.57647/cna.2025.y5zb-4a54 EN Bhausaheb R. Sontakke Department of Mathematics, Pratishthan Mahavidyalaya, Paithan - 431107, Aurangabad, India Shankar R. Raut Department of Mathematics, Mrs. K.S.K. College, Beed, India Journal Article 2025 06 30 This paper presents approximate analytical solutions for solving the nonlinear homogeneous and non-homogeneous gas dynamics equations with the Atangana-Baleanu fractional derivative operator. The validity of the solutions is verified by providing existence and uniqueness criteria for the solution using the employed technique. To illustrate the ability and efficiency of the method, absolute errors, tables, and graphical presentations of numerical solutions for specific cases are obtained.