Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel
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摘要
In this paper, we introduce and investigate a fractional calculus with an integral operator which contains the following family of generalized Mittag–Leffler functions:in its kernel, being the familiar Pochhammer symbol. A number of corollaries and consequences of the main results presented here are also considered.
论文关键词：Generalized Mittag–Leffler functions,Riemann–Liouville fractional integral and fractional derivative operators,Hilfer fractional derivative operator,Caputo fractional derivative operator,Laplace transformation,Fox–Wright -function,F, G and H functions,Fractional differential equations,Lebesgue measurable functions,Bounded integral operators
论文评审过程：Available online 29 January 2009.
论文官网地址：https://doi.org/10.1016/j.amc.2009.01.055
