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

In this article, we derive four theorems concerning the fractional integral image for the product of the q-analogue of general class of polynomials with the q-analogue of the I-functions. To illustrate our main results, we use q-fractional integrals of Erdélyi–Kober type and generalized Weyl type fr...

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Autores principales:	V.K. Vyas, Ali A. Al-Jarrah, D. L. Suthar, Nigussie Abeye
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/640d9a39673748f7accbf5477f146598
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spelling	oai:doaj.org-article:640d9a39673748f7accbf5477f1465982021-11-08T02:35:54ZFractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications1563-514710.1155/2021/7858331https://doaj.org/article/640d9a39673748f7accbf5477f1465982021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7858331https://doaj.org/toc/1563-5147In this article, we derive four theorems concerning the fractional integral image for the product of the q-analogue of general class of polynomials with the q-analogue of the I-functions. To illustrate our main results, we use q-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 q-fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type q-fractional integrals.V.K. VyasAli A. Al-JarrahD. L. SutharNigussie AbeyeHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 V.K. Vyas Ali A. Al-Jarrah D. L. Suthar Nigussie Abeye Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
description	In this article, we derive four theorems concerning the fractional integral image for the product of the q-analogue of general class of polynomials with the q-analogue of the I-functions. To illustrate our main results, we use q-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 q-fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type q-fractional integrals.
format	article
author	V.K. Vyas Ali A. Al-Jarrah D. L. Suthar Nigussie Abeye
author_facet	V.K. Vyas Ali A. Al-Jarrah D. L. Suthar Nigussie Abeye
author_sort	V.K. Vyas
title	Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
title_short	Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
title_full	Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
title_fullStr	Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
title_full_unstemmed	Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
title_sort	fractional q-integral operators for the product of a q-polynomial and q-analogue of the i-functions and their applications
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/640d9a39673748f7accbf5477f146598
work_keys_str_mv	AT vkvyas fractionalqintegraloperatorsfortheproductofaqpolynomialandqanalogueoftheifunctionsandtheirapplications AT aliaaljarrah fractionalqintegraloperatorsfortheproductofaqpolynomialandqanalogueoftheifunctionsandtheirapplications AT dlsuthar fractionalqintegraloperatorsfortheproductofaqpolynomialandqanalogueoftheifunctionsandtheirapplications AT nigussieabeye fractionalqintegraloperatorsfortheproductofaqpolynomialandqanalogueoftheifunctionsandtheirapplications
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Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications

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