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On Bounds of k -Fractional Integral Operators with Mittag-Leffler Kernels for Several Types of Exponentially Convexities.

Authors :
Farid, Ghulam
Khan, Hala Safdar
Tawfiq, Ferdous M. O.
Ro, Jong-Suk
Zainab, Saira
Source :
Fractal & Fractional. Aug2023, Vol. 7 Issue 8, p617. 14p.
Publication Year :
2023

Abstract

This paper aims to study the bounds of k-integral operators with the Mittag-Leffler kernel in a unified form. To achieve these bounds, the definition of exponentially (α , h − m) − p -convexity is utilized frequently. In addition, a fractional Hadamard type inequality which shows the upper and lower bounds of k-integral operators simultaneously is presented. The results are directly linked with the results of many published articles. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
7
Issue :
8
Database :
Academic Search Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
170742333
Full Text :
https://doi.org/10.3390/fractalfract7080617