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Some Integral Inequalities in đť’±-Fractional Calculus and Their Applications

Author

Listed:
  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

  • Pshtiwan Othman Mohammed

    (Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq)

  • Ohud Almutairi

    (Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia)

  • Artion Kashuri

    (Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, 9400 Vlora, Albania)

  • Y. S. Hamed

    (Department of Mathematics and Statistics, College of Science, Taif University, Taif 21944, Saudi Arabia)

Abstract

We consider the Steffensen–Hayashi inequality and remainder identity for V -fractional differentiable functions involving the six parameters truncated Mittag–Leffler function and the Gamma function. In view of these, we obtain some integral inequalities of Steffensen, Hermite–Hadamard, Chebyshev, Ostrowski, and Grüss type to the V -fractional calculus.

Suggested Citation

  • Hari Mohan Srivastava & Pshtiwan Othman Mohammed & Ohud Almutairi & Artion Kashuri & Y. S. Hamed, 2022. "Some Integral Inequalities in đť’±-Fractional Calculus and Their Applications," Mathematics, MDPI, vol. 10(3), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:344-:d:731818
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