Scopus İndeksli Yayınlar Koleksiyonu

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  • Article
    Citation - WoS: 85
    Citation - Scopus: 101
    Dual Identities in Fractional Difference Calculus Within Riemann
    (Springeropen, 2013) Abdeljawad, Thabet
    We investigate two types of dual identities for Riemann fractional sums and differences. The first type relates nabla- and delta-type fractional sums and differences. The second type represented by the Q-operator relates left and right fractional sums and differences. These dual identities insist that in the definition of right fractional differences, we have to use both nabla and delta operators. The solution representation for a higher-order Riemann fractional difference equation is obtained as well.