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Browsing by Author "Benli, Betül"

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    Master Thesis
    Discrete mittag–leffler functions in fractional calculus
    (2011) Benli, Betül
    A speci c type of Caputo q{fractional di erential equations has been solved. The solutions have been expressed via the generalized q- Mittag Le er functions which were comprised a while ago. The method of successive approximation has been used to reach the solutions. Mittag-Le er function makes q-analog, which was proposed by Kilbas and Saigo before, generalized. In addition to this, discrete Mittag-Le er functions and q-analog Mittag- Le er functions, concluded by T. Abdeljawad and D.Baleanu recently, have been discussed in the content of this thesis. Keywords: Fractional Sums, Fractional Di erences, Mittag{Le er Function, Q{Mittag-Le er Function, Discrete Mittag{Le er Function, Caputo Q{Fractional Integral, Caputo Q{Fractional Derivatives, Time Scale, Euler Lagrange Equation.
  • Thumbnail Image
    Master Thesis
    Discrete Mittag-Leffler functions in fractional calculus
    (2011) Benli, Betül
    A specific type of Caputo q?fractional differential equations has been solved. The solutions have been expressed via the generalized q- Mittag Leffler func- tions which were comprised a while ago. The method of successive approxi- mation has been used to reach the solutions. Mittag-Leffler function makes q-analog, which was proposed by Kilbas and Saigo before, generalized. In addition to this, discrete Mittag-Leffler functions and q-analog Mittag- Leffler functions, concluded by T. Abdeljawad and D.Baleanu recently, have been discussed in the content of this thesis