Two efficient techniques for analysis and simulation of time-fractional Tricomi equation

In this work, the time-fractional Tricomi equation is investigated via two efficient computational techniques. This equation is used to explain the nearly sonic speed gas dynamics phenomenon. The Homotopy perturbation transform technique, which is a combination of Laplace transform and a semi-analytical technique, and Homotopy analysis method are used to solve the time-fractional Tricomi equation. The existence and uniqueness of the solution is analyzed by using two different fixed-point theorems. Finally, the effectiveness of the proposed techniques is illustrated through two test examples by comparing the absolute error of proposed techniques with the existing techniques and the result achieved in this paper benefits (but not limited to) the gas flow dynamics.