Abstract:
In this paper we investigate the representationfor norm, in the energetic space generated by the op-erator of fractional differentiation, in terms of coefficients of Fourier of a fractional derivative function. The theoremestablishes the completeness of the unitary space of fractionally-differentiable functions, when elements of the unitary space are the functions represented by fractional integral from square-integrable functions, is proved. The theorem having the result the description of closed linear manifolds, in the energetic space generated by the operator of fractional differentiation, is proved.
Keywords:energetic space, operator of fractional differentiation, strongly monotone operator.
