Some Integral Inequalities in 𝒱-Fractional Calculus and Their Applications

Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Ohud Almutairi, Artion Kashuri and Y. S. Hamed
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Hari Mohan Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
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

Mathematics, 2022, vol. 10, issue 3, 1-16

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.

Keywords: \({\mathcal{V}}\)-fractional derivative; \({\mathcal{V}}\)-fractional integral; truncated Mittag–Leffler function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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