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On A Class Of Fractional Hardy-Type Inequalities

Author

Listed:
  • 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)

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.

Suggested Citation

  • Shanhe Wu & Muhammad Samraiz & Sajid Iqbal & Gauhar Rahman, 2022. "On A Class Of Fractional Hardy-Type Inequalities," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-19, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22400114
    DOI: 10.1142/S0218348X22400114
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