Scopus İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.Univ Szeged, Bolyai instituteScopus Q: search.filters.scopusQuartile.Q3

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  • Article
    Citation - WoS: 13
    Citation - Scopus: 14
    A Generalisation of the Malgrange-Ehrenpreis Theorem To Find Fundamental Solutions To Fractional Pdes
    (Univ Szeged, Bolyai institute, 2017) Fernandez, Arran; Baleanu, Dumitru
    We present and prove a new generalisation of the Malgrange-Ehrenpreis theorem to fractional partial differential equations, which can be used to construct fundamental solutions to all partial differential operators of rational order and many of arbitrary real order. We demonstrate with some examples and mention a few possible applications.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 30
    Approximate Controllability of Sobolev Type Fractional Stochastic Nonlocal Nonlinear Differential Equations in Hilbert Spaces
    (Univ Szeged, Bolyai institute, 2014) Debbouche, Amar; Baleanu, Dumitru; Kerboua, Mourad
    We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces. We use Holder's inequality, fixed point technique, fractional calculus, stochastic analysis and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions is formulated and proved for the fractional stochastic control system to be approximately controllable. An example is given to illustrate the abstract results.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 5
    Oscillatory Behavior of Higher-Order Neutral Type Dynamic Equations
    (Univ Szeged, Bolyai institute, 2013) Mert, Raziye; Zafer, Agacik; Grace, Said R.
    The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamice quations. The method can be utilized to study other types of higher-order equations on time scales as well.