Fractional versions of Minkowski-type integral inequalities via unified Mittag-Leffler function-Reference-Cited by-同舟云学术

Fractional versions of Minkowski-type integral inequalities via unified Mittag-Leffler function

Published:2022-01-24 Issue:1 Volume:2022 Page:
ISSN:2731-4235
Container-title:Advances in Continuous and Discrete Models
language:en
Short-container-title:Adv Cont Discr Mod

Author:

Zhou Shuang-Shuang,Farid Ghulam,Ahmad Ayyaz

Abstract

AbstractWe present unified versions of Minkowski-type fractional integral inequalities with the help of fractional integral operator based on a unified Mittag-Leffler function. These inequalities provide new as well as already known fractional versions of Minkowski-type inequalities.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1186/s13662-022-03681-0.pdf

Reference18 articles.

1. Mittag-Leffler, G.: Sur la nouvelle fonction $E(x)$. C. R. Acad. Sci. Paris 137, 554–558 (1903)

2. Mathai, A.M., Haubold, H.J.: Special Functions for Applied Scientists. Springer, New York (2008)

3. Gómez, J.F., Torres, L., Escobar, R.F.: Fractional Derivatives with Mittag-Leffler Kernel: Trends and Applications in Science and Engineering. Springer, Switzerland (2019)

4. Shukla, A.K., Prajapati, J.C.: On a generalization of Mittag-Leffler function and its properties. J. Math. Anal. Appl. 336, 797–811 (2007)

5. Rahman, G., Baleanu, D., Qurashi, M.A., Purohit, S.D., Mubeen, S., Arshad, M.: The extended Mittag-Leffler function via fractional calculus. J. Nonlinear Sci. Appl. 10, 4244–4253 (2017)

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