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Certain Fractional Proportional Integral Inequalities via Convex Functions

Author

Listed:
  • Gauhar Rahman

    (Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan)

  • Kottakkaran Sooppy Nisar

    (Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia)

  • Thabet Abdeljawad

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12345, Saudi Arabia
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan
    Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan)

  • Samee Ullah

    (Department of Mathematics, University of Malakand, Lower Dir 18800, Chakdara, Pakistan)

Abstract

The goal of this article is to establish some fractional proportional integral inequalities for convex functions by employing proportional fractional integral operators. In addition, we establish some classical integral inequalities as the special cases of our main findings.

Suggested Citation

  • Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad & Samee Ullah, 2020. "Certain Fractional Proportional Integral Inequalities via Convex Functions," Mathematics, MDPI, vol. 8(2), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:222-:d:318388
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    References listed on IDEAS

    as
    1. Set, Erhan & Tomar, Muharrem & Sarikaya, Mehmet Zeki, 2015. "On generalized Grüss type inequalities for k-fractional integrals," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 29-34.
    2. Shuman Meng & Yujun Cui, 2019. "The Extremal Solution To Conformable Fractional Differential Equations Involving Integral Boundary Condition," Mathematics, MDPI, vol. 7(2), pages 1-9, February.
    3. Gauhar Rahman & Zafar Ullah & Aftab Khan & Erhan Set & Kottakkaran Sooppy Nisar, 2019. "Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators," Mathematics, MDPI, vol. 7(4), pages 1-9, April.
    Full references (including those not matched with items on IDEAS)

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