Scopus İndeksli Yayınlar Koleksiyonu

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Publisher: search.filters.publisher.Springer NatureSubject: search.filters.subject.Dissipative Operators

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  • Article
    A Left-Definite Non-Integer-Order Dissipative Operator
    (Springer Nature, 2026) Ugurlu, Ekin
    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.