A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional op-erator

Rahman, Gauhar; YILDIZ, Çetin; Samraiz, Muhammad; Aiadi, Suhad; Mlaiki, Nabil

doi:10.22436/jmcs.040.01.03

A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional op-erator

Rahman G., YILDIZ Ç., Samraiz M., Aiadi S. S., Mlaiki N.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, cilt.40, sa.1, ss.38-48, 2026 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 40 Sayı: 1
Basım Tarihi: 2026
Doi Numarası: 10.22436/jmcs.040.01.03
Dergi Adı: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.38-48
Atatürk Üniversitesi Adresli: Evet

Özet

Many researchers are attracted to the AB-fractional integral operators for the investigation of a wide range of problems in divers fields. In this paper, we take into consideration the definition of modified AB-fractional integral operators recently proposed by [W. H. Huang, M. Samraiz, A. Mehmood, D. Baleanu, G. Rahman, S. Naheed, Alex. Eng. J., 75 (2023), 639- 648]. With the modified AB-fractional integral operators, we propose a generalization of the reverse Minkowski inequality. We also use the modified AB-fractional integral operator to develop some more related integral inequalities. The inequalities in this paper are more general as compared to the existing inequalities. These inequalities extend fractional versions of Minkowski-type inequalities that are both previously known and novel.