On a Boundary Value Problem for the Biharmonic Equation with Multiple Involutions

A nonlocal analogue of the biharmonic operator with involution-type transformations was considered. For corresponding equation involution, we investigated solvability boundary value problems a fractional-order having derivative Hadamard-type. First, involution type were The properties matrices these investigated. As applications considered transformations, questions about problem for studied. Modified Hadamard derivatives as operator. covered Dirichlet and Neumann-type conditions. Theorems on existence uniqueness solutions to studied proven.