Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Publisher: search.filters.publisher.Royal SocSubject: search.filters.subject.Fractional Calculus

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  • Article
    Citation - WoS: 217
    Citation - Scopus: 229
    Some Existence Results on Nonlinear Fractional Differential Equations
    (Royal Soc, 2013) Rezapour, Shahram; Mohammadi, Hakimeh; Baleanu, Dumitru
    In this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for the nonlinear fractional differential equation boundary-value problem D(alpha)u(t) = f(t, u(t)) with a Riemann-Liouville fractional derivative via the different boundary-value problems u(0) = u(T), and the three-point boundary condition u(0)= beta(1)u(eta) and u(T) = beta(2)u(eta), where T > 0, t is an element of I = [0, T], 0 < alpha < 1, 0 < eta < T, 0 < beta(1) < beta(2) < 1.