Novel fractional inequalities measured by Prabhakar fuzzy fractional operators pertaining to fuzzy convexities and preinvexities-Reference-Cited by-同舟云学术

Novel fractional inequalities measured by Prabhakar fuzzy fractional operators pertaining to fuzzy convexities and preinvexities

Published:2024 Issue:7 Volume:9 Page:17696-17715
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Nayab Iqra¹,Mubeen Shahid¹,Ali Rana Safdar²,Zahoor Faisal²,Awadalla Muath³,Elamin Abd Elmotaleb A. M. A.⁴

Affiliation:

1. Department of Mathematics, University of Sargodha, Sargodha, Pakistan

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

3. Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa 31982, Saudi Arabia

4. Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Al-Kharj 11942, Saudi Arabia

Abstract

<abstract><p>In this article, we implemented the idea of a fuzzy interval-valued function with the well-known generalized fuzzy fractional operators, associated with different types of convexities and preinvexities. We developed the Prabhakar fuzzy fractional operators using the fuzzy interval-valued function. We presented the novel extensions of Hermite-Hadamard fuzzy-type and trapezoidal fuzzy-type inequalities, based on the $ h $-Godunova-Levin convex and $ h $-Godunova preinvex fuzzy interval-valued functions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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