Abstract

AbstractIn this study, the modified fractal gas dynamics model (GDM) with variable coefficients is successfully represented using the fractal derivative. We obtain the fractal variational principle of the modified fractal GDM by employing the fractal semi‐inverse method. Based on the established fractal variational principle, a new and fascinating algorithm is presented to solve the fractal model, which is called fractal two‐scale variational method (FTSVM). Finally, two numerical examples are given to indicate the efficiency and accuracy of the proposed algorithm. The FTSVM sheds a new light on the fractal differential equations.

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