Abstract
AbstractIn this paper, we establish several interesting image formulae of the incomplete I-function under the conformable and pathway fractional integral and derivative operators. Since both the incomplete I-function and the conformable fractional integral and derivative operators are very general among special functions as well as fractional integral and derivative operators, the main results presented here can give a number of specific identities, some of which are explicitly demonstrated in the corollaries.KeywordsIncomplete I-functionsMellin-Barnes-type contourFractional integral operatorFractional differential operatorPathway fractional integral2010 Mathematics Subject Classification:Primary 26A3330E20 Secondary 33E2033C60
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