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Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Author

Listed:
  • Vuk Stojiljković

    (Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia
    These authors contributed equally to this work.)

  • Rajagopalan Ramaswamy

    (Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi Arabia
    These authors contributed equally to this work.)

  • Ola A. Ashour Abdelnaby

    (Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi Arabia
    These authors contributed equally to this work.)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia)

Abstract

In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.

Suggested Citation

  • Vuk Stojiljković & Rajagopalan Ramaswamy & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting," Mathematics, MDPI, vol. 10(19), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3491-:d:924219
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    References listed on IDEAS

    as
    1. Xuexiao You & Muhammad Aamir Ali & Hüseyin Budak & Jiraporn Reunsumrit & Thanin Sitthiwirattham, 2021. "Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings," Mathematics, MDPI, vol. 9(20), pages 1-11, October.
    2. Pimchana Siricharuanun & Samet Erden & Muhammad Aamir Ali & Hüseyin Budak & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2021. "Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus," Mathematics, MDPI, vol. 9(16), pages 1-18, August.
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    Cited by:

    1. Muhammad Bilal Khan & Hakeem A. Othman & Michael Gr. Voskoglou & Lazim Abdullah & Alia M. Alzubaidi, 2023. "Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings," Mathematics, MDPI, vol. 11(3), pages 1-23, January.
    2. Tareq Saeed & Waqar Afzal & Mujahid Abbas & Savin Treanţă & Manuel De la Sen, 2022. "Some New Generalizations of Integral Inequalities for Harmonical cr -( h 1 , h 2 )-Godunova–Levin Functions and Applications," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    3. Malik, Muhammad Faizan & Chang, Ching-Lung & Chaudhary, Naveed Ishtiaq & Khan, Zeshan Aslam & Kiani, Adiqa kausar & Shu, Chi-Min & Raja, Muhammad Asif Zahoor, 2023. "Swarming intelligence heuristics for fractional nonlinear autoregressive exogenous noise systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Tareq Saeed & Waqar Afzal & Khurram Shabbir & Savin Treanţă & Manuel De la Sen, 2022. "Some Novel Estimates of Hermite–Hadamard and Jensen Type Inequalities for ( h 1 , h 2 )-Convex Functions Pertaining to Total Order Relation," Mathematics, MDPI, vol. 10(24), pages 1-17, December.

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