10.57647/cna.2025.y5zb-4a54

Analysis of Fractional Gas Dynamic Equations Using Atangana-Baleanu Derivative Operator

PDF
  • Bhausaheb R. Sontakke1,
  • Shankar R. Raut2,
  1. Department of Mathematics, Pratishthan Mahavidyalaya, Paithan - 431107, Aurangabad, India
  2. Department of Mathematics, Mrs. K.S.K. College, Beed, India

Received: 2024-10-30

Revised: 2025-12-15

Accepted: 2025-02-20

Published in Issue 2025-06-30

Copyright (c) 2025 Bhausaheb R. Sontakke, Shankar R. Raut (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Analysis of Fractional Gas Dynamic Equations Using Atangana-Baleanu Derivative Operator. (2025). Communications in Nonlinear Analysis, 13(1), 1-5. https://doi.org/10.57647/cna.2025.y5zb-4a54

PDF views: 8

Abstract

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.

Keywords

  • Atangana-Baleanu operator,
  • Fractional gas dynamic equations,
  • Iterative Laplace transform method
PDF