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What is Mellin Transform in Fractional Calculus about?

This document discusses the use of the Mellin integral transform in fractional calculus. The Mellin transform can be used to represent fractional calculus operators as Mellin convolution integrals. It can also be used to evaluate integrals involving special functions of fractional calculus, like the Mittag-Leffler function. The Mellin transform provides methods for deriving the Post-Widder inversion formula, Leibniz rules for fractional calculus operators, and proving that some special functions are complet

Author
Ankit
Language
EN