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On a General Formulation of the Riemann–Liouville Fractional Operator and Related Inequalities

Author

Listed:
  • Juan Gabriel Galeano Delgado

    (Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería 230002, Colombia)

  • Juan Eduardo Nápoles Valdés

    (UNNE, FaCENA, Av. Libertad 5450, Corrientes 3400, Argentina
    UTN-FRRE, Resistencia, Chaco 3500, Argentina)

  • Edgardo Enrique Pérez Reyes

    (Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería 230002, Colombia)

Abstract

In this paper, we present a general formulation of the Riemann–Liouville fractional operator with generalized kernels. Many of the known operators are shown to be particular cases of the one we present. In this new framework, we prove several known integral inequalities in the literature.

Suggested Citation

  • Juan Gabriel Galeano Delgado & Juan Eduardo Nápoles Valdés & Edgardo Enrique Pérez Reyes, 2023. "On a General Formulation of the Riemann–Liouville Fractional Operator and Related Inequalities," Mathematics, MDPI, vol. 11(16), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3565-:d:1219450
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