Study of Time-Fractional Nonlinear Model Governing Unsteady Flow of Polytropic Gas

The present study is concerned with studying the dynamical behavior of two space-dimensional nonlinear time-fractional models governing unsteady-flow polytropic-gas (in brief, pGas) that occurred in cosmology and astronomy. For this purpose, efficient hybrid methods so-called optimal homotopy analysis J-transform method (OHAJTM) J-variational iteration transform (J-VITM) have been adopted. OHAJTM method, where optimal-homotopy (OHAM) utilized after implementing properties (JT), J-VITM J-transform-based variational method. Banach’s fixed point approach adopted to analyze convergence these methods. It demonstrated T-stable, evaluated dynamics pGas are described terms Mittag–Leffler functions. proposed evaluation confirms implemented perform better for referred model equation pGas. In addition, a given iteration, via performs producing more accurate comparison introduced recently.