Application of Lie symmetry method reveals exact solutions and conservation laws for time fractional equations.
In this paper, the Lie symmetry method is applied to examine the time fractional Zeldovich equation. Based on the obtained infinitesimal generators and for various constants, we show that the studied equation can be transformed into a nonlinear ordinary differential equation in terms of the Erdélyi–Kober fractional operator. Then, we are able to find some of its exact solutions. Using Ibragimov's method, we construct some of its conservation laws.
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Ansari et al. (2025) studied this question.
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