Article

    Ufa Mathematical Journal
    Volume 4, Number 1, pp. 65-75

    Symmetry properties for systems of two ordinary fractional difeferential equations.


    Kasatkin A.A.

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    Lie point symmetries of two systems of ordinary fractional differential equations with the Riemann-Liouville derivatives are considered. Infinite algebra $L$ of equivalence transformation operators is constructed. It is shown that all admitted operators generate some subalgebra in $L$ and classification of systems with respect to point symmetries can be based on the optimal system of subalgebras. The optimal system of one-dimensional $L$ subalgebras and the complete normalized optimal system for its finite-dimensional part $L_6$ are constructed.