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A left-definite non-integer-order dissipative operator
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DOI：10.1007/s41478-026-01086-w.png)
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Abstract
En 中文
In this paper we consider a non-integer (fractional)-order nonselfadjoint boundary-value problem so that the fractional-order equation is a kind of left-definite equation. We construct a dissipative operator in a Sobolev space H-1(a,b) and we introduce several results on the spectral properties of the related operators. In particular, we construct an inverse operator with the aid of the Dirac-delta function and we apply Krein's theorem to the inverse operator which is compact having a nuclear imaginary component.
Keywords:
Completeness theorem
Fractional boundary-value problems
Dissipative operators
Dirac-delta function
Inverse operators
