Solvability and conservation laws of a generalized time-fractional wave-diffusion equations via invariant analysis (Q2700187)
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| English | Solvability and conservation laws of a generalized time-fractional wave-diffusion equations via invariant analysis |
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Solvability and conservation laws of a generalized time-fractional wave-diffusion equations via invariant analysis (English)
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20 April 2023
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Summary: In this paper, invariant analysis of a generalised time-fractional wave-diffusion equation in sense of the modified Riemann-Liouville derivative is considered. Differential invariant properties of the admitted Lie groups are used to reducing order in given wave-diffusion equation, geometric vector fields and exact solutions are obtained. The derivation of conservation laws associated with the invariant analysis of the equation are constructed by the Noether's theorem.
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wave-diffusion
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Erdélyi-Kober operator
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symmetry reductions
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exact solution
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conservation laws
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