In this paper, we consider operators arising in the modeling of renewable systems with elements that can be different states. These are functional non-Carlemann shifts and they act Holder spaces weight. The main attention was paid to non-linear equations relating coefficients a shift. solutions these were used reduce under consideration shift, invertibility conditions for which found previous a...

The theory of functional connections, an analytical framework generalizing interpolation, was extended and applied in the context fractional-order operators (integrals derivatives). extension performed presented for univariate functions, with aim determining whole set functions satisfying some constraints expressed terms integrals derivatives non-integer order. objective these expressions to so...