کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154387 1462578 2019 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
چکیده انگلیسی
We consider an integral transform introduced by Prabhakar, involving generalised multi-parameter Mittag-Leffler functions, which can be used to introduce and investigate several different models of fractional calculus. We derive a new series expression for this transform, in terms of classical Riemann-Liouville fractional integrals, and use it to obtain or verify series formulae in various specific cases corresponding to different fractional-calculus models. We demonstrate the power of our result by applying the series formula to derive analogues of the product and chain rules in more general fractional contexts. We also discuss how the Prabhakar model can be used to explore the idea of fractional iteration in connection with semigroup properties.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 517-527
نویسندگان
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