Discrete Mittag-Leffler functions in fractional calculus
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Özet (EN)
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.
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Betül Benli
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Betül Benli (Master Thesis). Discrete Mittag-Leffler functions in fractional calculus, 2011, Çankaya University.
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