Fractional - Integral Operators for the Product of a - Polynomial and - Analogue of the - Functions and Their Applications

V.K. Vyas, Ali A. Al-Jarrah, D. L. Suthar and Nigussie Abeye

Mathematical Problems in Engineering, 2021, vol. 2021, 1-9

Abstract:

In this article, we derive four theorems concerning the fractional integral image for the product of the - analogue of general class of polynomials with the - analogue of the - functions. To illustrate our main results, we use - fractional integrals of Erdélyi–Kober type and generalized Weyl type fractional operators. The study concludes with a variety of results that can be obtained by using the relationship between the Erdélyi–Kober type and the Riemann–Liouville - fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type - fractional integrals.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7858331

DOI: 10.1155/2021/7858331

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