[1] M. Alesemi, N. Iqbal and T. Botmart, Novel analysis of the fractional-order system of non-linear partial differential equations with the exponential-decay kernel, Math. 10 (2022), no. 4, 615.
[2] H.M. Ali, H. Ahmad, S. Askar and I.G. Ameen, Efficient approaches for solving systems of nonlinear time-fractional partial differential equations, Fractal Fractional 6 (2022), no. 1, 32.
[3] H. Aminikhah, A.H.R. Sheikhani and H. Rezazadeh, Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations, J. Math. Model. 2 (2014), no. 1, 22–40.
[4] J.C. Dalsgard, Lecture notes on stellar structure and evolution, Aarhus University Press, Aarhus, 2004.
[5] A. Ghorbani, Beyond Adomian polynomials: He polynomials, Chaos Solitons Fractals 39 (2009), no. 3, 1486–1492.
[6] H. Jafari, A new general integral transform for solving integral equations, J. Adv. Res. 32 (2021), 133–138.
[7] J.H. He, Application of homotopy perturbation method to non-linear wave equations, Chaos Solitons Fractals 26 (2005), no. 3, 695–700.
[8] A. Khalouta, Exact solution of nonlinear time-fractional reaction-diffusion-convection equation via a new coupling method, Int. J. Nonlinear Anal. Appl. 13 (2022), no. 2, 333–343.
[9] A. Khalouta, A new general integral transform for solving Caputo fractional-order differential equations, Int. J. Nonlinear Anal. Appl. 14 (2023), no. 1, 67–78.
[10] A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and Application of Fractional Differential equations, Elsevier, North-Holland, 2006.
[11] I. Klebanov, A. Panov, S. Ivanov and O. Maslova, Group analysis of dynamics equations of self-gravitating polytropic gas, Commun. Nonlinear Sci. Numer. Simul. 59 (2018), 437–443.
[12] S. Kumar, A. Kumar, Z. Odibat, M. Aldhaifallah and K.S. Nisar, A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow, AIMS Math. 5 (2020), no. 4, 3035-3055.
[13] S. Maitama, Exact solution of equation governing the unsteady flow of a polytropic gas using the natural decomposition method, Appl. Math. Sci. 8 (2014), no. 77, 3809–3823.
[14] M.Z. Mohamed and T.M. Elzaki, Comparison between the Laplace decomposition method and Adomian decomposition in time-space fractional nonlinear fractional differential equations, Appl. Math. 9 (2018), 448–458.
[15] H. Moradpour, A. Abri and H. Ebadi, Thermodynamic behavior and stability of Polytropic gas, Int. J. Modern Phys. D 25 (2016), no. 1, 1650014.
[16] T. Ozer, Symmetry group analysis of Benney system and an application for shallow-water equations, Mech. Res. Commun. 32 (2005), no. 3, 241–254.
[17] A. Prakash, M. Kumar and K.K. Sharma, Numerical method for solving fractional coupled Burgers equations, Appl. Math. Comput. 260 (2015), 314–320.
[18] M. Rawashdeh, Approximate solutions for coupled systems of nonlinear PDES using the reduced differential transform method, Math. Comput. Appl. 19 (2014), no. 2, 161–171.
[19] A.T. Salmana, H.K. Jassima and N.J. Hassana, An application of the Elzaki homotopy perturbation method for solving fractional Burger’s equations, Int. J. Nonlinear Anal. Appl. In Press, 1–10.
[20] P. Veeresha, D.G. Prakasha and H.M. Baskonus, An efficient technique for a fractional-order system of equations describing the unsteady flow of a polytropic gas, Pramana J. Phys. 93 (2019), no. 75, 1–13.
[21] A.M. Wazwaz, Partial Differential Equations and Solitary Waves Theory, Springer, Berlin, 2009.
[22] A.M. Wazwaz, The variational iteration method for analytic treatment for linear and non-linear ODEs, Appl. Math. Comput. 212 (2009), no. 1, 120–134.
[23] G.C. Wu, Challenge in the variational iteration method A new approach to identification of the Lagrange multipliers, J. King Saud Univ. Sci. 25 (2013), no. 2, 175–178.
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