WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Department: search.filters.department.Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik BölümüSubject: search.filters.subject.Generalized Caputo Fractional Derivatives

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  • Review
    Variational principles in the frame of certain generalized fractional derivatives
    (Amer Inst Mathematical Sciences-AIMS, 2020) Jarad, Fahd; Abdeljawad, Thabet
    In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion.
  • Article
    On the generalized fractional derivatives and their Caputo modification
    (INT Scientific Research Publications, 2017) Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
    In this manuscript, we define the generalized fractional derivative on AC(gamma)(n) [a, b], the space of functions defined on [a, b] such that gamma(n-1) f is an element of AC [a, b], where gamma = x(1-rho) d/dx. We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo version.