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The Pathway Fractional Integrals of Incomplete I-Functions

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Date

2020

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Springer

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Abstract

In this present study, our aim is to investigate the pathway fractional integral formulae for the incomplete I-functions. Further, we also examine their special cases, which are in the form of recognize functions such as incomplete I¯ -functions, incomplete H¯ -functions and incomplete H-functions. Findings connected with the fractional integral operator I0+σ of Riemann-Liouville type are also viewed as limiting cases of the main results. © 2020, Springer Nature India Private Limited.

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Keywords

Incomplete H-Functions, Incomplete H¯ -Functions, Incomplete I-Functions, Incomplete I¯ -Functions, Pathway Fractional Integral Operator, Riemann-Liouville Fractional Integral Operator, pathway fractional integral operator, Riemann-Liouville fractional integral operator, \(q\)-gamma functions, \(q\)-beta functions and integrals, incomplete \(\overline{I} \)-functions, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), incomplete \(I\)-functions, incomplete \(H\)-functions, Integrals of Riemann, Stieltjes and Lebesgue type, incomplete \(\overline{H} \)-functions

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Baleanu, Dumitru...at all (2020). "The Pathway Fractional Integrals of Incomplete I-Functions", International Journal of Applied and Computational Mathematics, Vol. 6, No. 5.

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Q2
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2

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International Journal of Applied and Computational Mathematics

Volume

6

Issue

5

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CrossRef : 1

Scopus : 3

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3

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1

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