ON A CLASS OF FRACTIONAL HARDY-TYPE INEQUALITIES

Shanhe Wu (), Muhammad Samraiz, Sajid Iqbal () and Gauhar Rahman ()
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Shanhe Wu: Department of Mathematics, Longyan University, Longyan 364012, P. R. China
Muhammad Samraiz: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Sajid Iqbal: Department of Mathematics, Riphah International University, Faisalabad Campus, Satyana Road 38000 Faisalabad, Pakistan
Gauhar Rahman: Department of Mathematics and Statistics, Hazara University Mansehra, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-19

Abstract: 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.

Keywords: Fractional Integral; Fractional Derivative; Hardy-Type Inequality; Hölder’s Inequality; Minkowski’s Inequality (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400114

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