Abstract
A three-dimensional Lie algebra of the time fractional diffusion-absorption (TFDA) equation, spanned by vector fields, is obtained. One of the generators is singled out in order to extract an invariant solution in a special domain. Conservation laws of TFDA equation are considered by a developed version of Ibragimov’s method. Then the invariant subspace method is used to construct its exact solutions.
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Hashemi, M.S., Balmeh, Z., Baleanu, D. (2019). Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation. In: Taş, K., Baleanu, D., Machado, J. (eds) Mathematical Methods in Engineering. Nonlinear Systems and Complexity, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-91065-9_4
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