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Browsing by Author "Hammood, Hayder"

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    Master Thesis
    On discrete fractional calculus with applications
    (Çankaya Üniversitesi, 2015) Hammood, Hayder
    In this thesis, we present the discrete fractional calculus in the frame of the Delta difference operator and discuss the most important properties and theorems. In order to solve delta fractional difference initial value problems, we discuss the Laplace transform related to this calculus and give the main formulas that are needed to solve such problems. The discrete fractional calculus in the frame of the Nabla difference operators and the related Laplace transforms are discussed and some Nabla fractional difference initial value problems are solved as well.
  • Thumbnail Image
    Master Thesis
    On discrete fractional calculus with applications
    (2015) Hammood, Hayder
    In this thesis, we present the discrete fractional calculus in the frame of the Delta difference operator and discuss the most important properties and theorems. In order to solve delta fractional difference initial value problems, we discuss the Laplace transform related to this calculus and give the main formulas that are needed to solve such problems. The discrete fractional calculus in the frame of the Nabla difference operators and the related Laplace transforms are discussed and some Nabla fractional difference initial value problems are solved as well.