On Opial-type inequality for a generalized fractional integral operator


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.

Año de publicación:

2022

Keywords:

  • Fractional integral operator
  • Fractional Calculus
  • Opial inequality

Fuente:

googlegoogle
scopusscopus

Tipo de documento:

Article

Estado:

Acceso abierto

Áreas de conocimiento:

  • Optimización matemática
  • Optimización matemática

Áreas temáticas de Dewey:

  • Matemáticas
  • Álgebra
  • Análisis
Procesado con IAProcesado con IA

Objetivos de Desarrollo Sostenible:

  • ODS 4: Educación de calidad
  • ODS 17: Alianzas para lograr los objetivos
  • ODS 9: Industria, innovación e infraestructura
Procesado con IAProcesado con IA