Next Article in Journal
Variations on the Brouwer Fixed Point Theorem: A Survey
Previous Article in Journal
Mitigating Safety Concerns and Profit/Production Losses for Chemical Process Control Systems under Cyberattacks via Design/Control Methods
Open AccessArticle

Tempered Fractional Integral Inequalities for Convex Functions

Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, KSA, Saudi Arabia
Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(4), 500;
Received: 20 February 2020 / Revised: 28 March 2020 / Accepted: 30 March 2020 / Published: 2 April 2020
(This article belongs to the Section Difference and Differential Equations)
Certain new inequalities for convex functions by utilizing the tempered fractional integral are established in this paper. We also established some new results by employing the connections between the tempered fractional integral with the (R-L) fractional integral. Several special cases of the main result are also presented. The obtained results are more in a general form as it reduced certain existing results of Dahmani (2012) and Liu et al. (2009) by employing some particular values of the parameters. View Full-Text
Keywords: fractional integrals; tempered fractional integral; inequalities fractional integrals; tempered fractional integral; inequalities
MDPI and ACS Style

Rahman, G.; Nisar, K.S.; Abdeljawad, T. Tempered Fractional Integral Inequalities for Convex Functions. Mathematics 2020, 8, 500.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop