Partohaghighi, MohammadInc, MustafaBaleanu, DimitruMoshokoa, Seithuti Philemon2024-09-252024-09-252018-12-012683-386710.2298/TSCI190421365Phttps://hdl.handle.net/20.500.14519/726In this work a poweful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x, t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.2009-2016 PagesenAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/Fictitious time integration methodGroup preserving schemeTime fractional gas dynamics equationCaputo derivativeArticle