4.6 Article

ON A CLASS OF FRACTIONAL HARDY-TYPE INEQUALITIES

出版社

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X22400114

关键词

Fractional Integral; Fractional Derivative; Hardy-Type Inequality; Holder's Inequality; Minkowski's Inequality

资金

  1. Natural Science Foundation of Fujian Province of China [2020J01365]

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In this paper, a new class of Hardy-type inequalities involving fractional calculus operators is studied. Hardy-type inequalities are derived for the variant of Riemann-Liouville fractional calculus operators and k-Hilfer fractional derivative operator. The obtained inequalities involving fractional operators are more general as compared to some existing results in the literature.
In this paper, we study a new class of Hardy-type inequalities involving fractional calculus operators. We derive the Hardy-type inequalities for the variant of Riemann-Liouville fractional calculus operators and k-Hilfer fractional derivative operator. The obtained inequalities involving fractional operators are more general as compared to some existing results in the literature.

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