Some integral inequalities in V-fractional calculus and their applications
Date
2022
Authors
Srivastava, Hari Mohan
Mohammed, Pshtiwan Othman
Almutairi, Ohud
Kashuri, Artion
Hamed, Y.S.
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
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.
Description
Keywords
V-fractional derivative, V-fractional integral, truncated Mittag–Leffler function
Citation
Srivastava, H., Mohammed, P., Almutairi, O., Kashuri, A., & Hamed, Y. (2022). “Some integral inequalities in fractional calculus and their applications.” Mathematics, 10(3), 344. https://doi.org/10.3390/math10030344