TY - JOUR
T1 - On Opial-type inequality for a generalized fractional integral operator
AU - Vivas-Cortez, Miguel
AU - Martínez, Francisco
AU - Nápoles Valdes, Juan E.
AU - Hernández, Jorge E.
N1 - Publisher Copyright:
© 2022 Authors. All rights reserved.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - 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.
AB - 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.
KW - Opial inequality
KW - fractional calculus
KW - fractional integral operator
UR - http://www.scopus.com/inward/record.url?scp=85140404768&partnerID=8YFLogxK
U2 - 10.1515/dema-2022-0149
DO - 10.1515/dema-2022-0149
M3 - Article
AN - SCOPUS:85140404768
SN - 0420-1213
VL - 55
SP - 695
EP - 709
JO - Demonstratio Mathematica
JF - Demonstratio Mathematica
IS - 1
ER -