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

Juan Gabriel Galeano Delgado, Juan Eduardo Nápoles Valdés and Edgardo Enrique Pérez Reyes ()
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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
Edgardo Enrique Pérez Reyes: Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería 230002, Colombia

Mathematics, 2023, vol. 11, issue 16, 1-11

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.

Keywords: generalized fractional Riemann–Liouville integral; fractional integral inequality; synchronous functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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