Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Subject: search.filters.subject.Fractional Order DerivativesWoS Q: search.filters.wosQuartile.Q1

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  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Fractional Hamiltonian Systems: Nested Ellipsoids
    (Pergamon-elsevier Science Ltd, 2025) Ugurlu, Ekin
    In this paper, we introduce a singular fractional-order Hamiltonian system with several spectral parameters. Using the inertia indices of the corresponding Hermitian forms we provide a lower bound for the number of linearly independent integrable-square solutions. Moreover, we introduce the Titchmarsh-Weyl function together with an intermediate theorem on the number of the integrable-square solutions. At the end of the paper, we show that 2-sequential and 4-sequential scalar fractional-order differential equations can be embedded into such Hamiltonian systems.