On Opial-type inequality for a generalized fractional integral operator-Reference-Cited by-同舟云学术

On Opial-type inequality for a generalized fractional integral operator

Published:2022-01-01 Issue:1 Volume:55 Page:695-709
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Vivas-Cortez Miguel¹,Martínez Francisco²,Valdes Juan E. Nápoles³,Hernández Jorge E.⁴

Affiliation:

1. Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Av. 12 de Octubre 1076. Apartado , Quito 17-01-2184 , Ecuador

2. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena , Cartagena , España

3. Universidad Nacional del Nordeste, Facultad de Ciencias Exactas y Naturales y Agrimensura , Corrientes , Argentina

4. Departamento de Técnicas Cuantitativas, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Económicas y Empresariales , Barquisimeto , Venezuela

Abstract

Abstract This article is aimed at establishing some results concerning integral inequalities of the Opial type in the fractional calculus scenario. Specifically, a generalized definition of a fractional integral operator is introduced from a new Raina-type special function, and with certain results proposed in previous publications and the choice of the parameters involved, the established results in the work are obtained. In addition, some criteria are established to obtain the aforementioned inequalities based on other integral operators. Finally, a more generalized definition is suggested, with which interesting results can be obtained in the field of fractional integral inequalities.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0149/pdf

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