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Inequalities For Fractional Riemann–Liouville Integrals Via Monotone Functions

Author

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  • GHULAM FARID

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan)

  • FERDOUS M. O. TAWFIQ

    (Department of Mathematics, College of Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia)

  • DANIEL BREAZ

    (Department of Mathematics, “1 Decembrie 1918†University of Alba Iulia, 510009 Alba Iulia, Romania)

  • LUMINITA-IOANA COTIRLA

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

Abstract

Riemann–Liouville (RL) fractional integral operators are applied to extend and generalize the classical real world problems. In this paper, we use RL integrals for monotone functions to extend some well-known inequalities. These inequalities are analyzed by generalizing certain conditions. It is noted that for proving Ostrowski and related classical inequalities, there is no need to establish montgomery-type identities.

Suggested Citation

  • Ghulam Farid & Ferdous M. O. Tawfiq & Daniel Breaz & Luminita-Ioana Cotirla, 2025. "Inequalities For Fractional Riemann–Liouville Integrals Via Monotone Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401474
    DOI: 10.1142/S0218348X25401474
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