Generalized inequalities involving fractional operators of the Riemann-Liouville type
Date
2021
Type:
Article
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16 p.
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Abstract
In this paper, we present a general formulation of the well-known fractional drifts of
Riemann-Liouville type. We state the main properties of these integral operators. Besides, we study Ostrowski, Szekely-Clark-Entringer and Hermite-Hadamard-Fej ´ er inequalities involving these general fractional operators.
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Citation
Paul Bosch, Héctor J. Carmenate, José M. Rodríguez, José M. Sigarreta. Generalized inequalities involving fractional operators of the Riemann-Liouville type[J]. AIMS Mathematics, 2022, 7(1): 1470-1485. doi: 10.3934/math.2022087
Keywords
Fractional derivatives and integrals, Szekely-Clark-Entringer inequality, Hermite-Hadamard-Fejer inequality, Ostrowski inequality