On Opial-type inequality for a generalized fractional integral operator

被引:2
|
作者
Vivas-Cortez, Miguel [1 ]
Martinez, Francisco [2 ]
Napoles Valdes, Juan E. [3 ]
Hernandez, Jorge E. [4 ]
机构
[1] Pontificia Univ Catolica Ecuador, Fac Ciencias Nat & Exactas, Escuela Ciencias Fis & Matemat, Av 12 Octubre 1076 Apartado, Quito 17012184, Ecuador
[2] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain
[3] Univ Nacl Nordeste, Fac Ciencias Exactas & Nat & Agrimensura, Corrientes, Argentina
[4] Univ Centroccident Lisandro Alvarado, Dept Tecn Cuantitat, Decanato Ciencias Econom & Empresariales, Barquisimeto, Venezuela
关键词
Opial inequality; fractional integral operator; fractional calculus;
D O I
10.1515/dema-2022-0149
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:695 / 709
页数:15
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