Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions-Reference-Cited by-同舟云学术

Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions

Published:2023-07-28 Issue:8 Volume:7 Page:580
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Vivas-Cortez Miguel¹^ORCID,Ali Rana Safdar²,Saif Humira²,Jeelani Mdi Begum³^ORCID,Rahman Gauhar⁴^ORCID,Elmasry Yasser⁵^ORCID

Affiliation:

1. Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Apartado, Quito 17-01-2184, Ecuador

2. Department of Mathematics, University of Lahore, Lahore 54000, Pakistan

3. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 13314, Saudi Arabia

4. Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan

5. Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha 61466, Saudi Arabia

Abstract

Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real valued functions, which have a great contribution to resolve the problems arising in the theory of interval analysis. In this article, we elaborate the convexities and pre-invexities in aspects of FIVFs and investigate the existence of fuzzy fractional integral operators (FFIOs) having a generalized Bessel–Maitland function as their kernel. Using the class of convexities and pre-invexities FIVFs, we prove some Hermite–Hadamard (H-H) and trapezoid-type inequalities by the implementation of FFIOs. Additionally, we obtain other well known inequalities having significant behavior in the field of fuzzy interval analysis.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/8/580/pdf

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