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Some fractional calculus findings associated with the incomplete I-functions

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In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of the incomplete… Click to show full abstract

In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of the incomplete I-functions increases about the utilization of the above-mentioned operators toward the power multiple of the incomplete I-functions. Further, the Caputo-type MSM fractional order differentiation for the incomplete I-functions is studied and investigated. Saigo, Riemann–Liouville, and Erdelyi–Kober fractional operators are also discussed as specific cases.

Keywords: calculus findings; fractional calculus; incomplete functions; findings associated; associated incomplete

Journal Title: Advances in Difference Equations
Year Published: 2020

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