Analysis and Applications of Some New Fractional Integral Inequalities
Ramzan, Sofia ORCID: 0000-0002-0158-0671, Awan, Muhammad Uzair
ORCID: 0000-0002-1019-9485, Dragomir, Sever S
ORCID: 0000-0003-2902-6805, Bin-Mohsin, Bandar
ORCID: 0000-0002-2160-4159 and Noor, Muhammad Aslam
ORCID: 0000-0001-6105-2435
(2023)
Analysis and Applications of Some New Fractional Integral Inequalities.
Fractal and Fractional, 7 (11).
ISSN 2504-3110
Abstract
This paper presents a novel parameterized fractional integral identity. By using this auxiliary result and the s-convexity property of the mapping, a series of fractional variants of certain classical inequalities, including Simpson’s, midpoint, and trapezoidal-type inequalities, have been derived. Additionally, some applications of our main outcomes to special means of real numbers have been explored. Moreover, we have derived a new generic numerical scheme for solving non-linear equations, demonstrating an application of our main results in numerical analysis.
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Item type | Article |
URI | https://vuir.vu.edu.au/id/eprint/47595 |
DOI | 10.3390/fractalfract7110797 |
Official URL | https://www.mdpi.com/2504-3110/7/11/797 |
Subjects | Current > FOR (2020) Classification > 4901 Applied mathematics Current > Division/Research > College of Science and Engineering |
Keywords | s-convex mappings; Simpson’s 1/3 formula; midpoint formula; trapezoidal formula; integral inequalities; fractional calculus; basins of attraction |
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