Certain Image Formulae of the Incomplete I-Function Under the Conformable and Pathway Fractional Integral and Derivative Operators

Manish Kumar Bansal,Junesang Choi,Devendra Kumar

doi:10.1007/978-981-19-0179-9_7

Certain Image Formulae of the Incomplete I-Function Under the Conformable and Pathway Fractional Integral and Derivative Operators

Manish Kumar Bansal, Junesang Choi + Show 1 more

https://doi.org/10.1007/978-981-19-0179-9_7

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Publication Date: Oct 14, 2022

Affiliation: Dongguk University, Jaypee Institute of Information Technology, University of Rajasthan

#Fractional Derivative Operators #Conformable Integral Operators + Show 8 more

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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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