A NOVEL METHOD FOR MILNE-TYPE INEQUALITIES USING PROPORTIONAL CAPUTO-HYBRID OPERATOR
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis. More importantly, it is better to use the new hybrid fractional operator, which merges the proportional and Caputo operator. In this study, because of its numerous applications, we concentrate on the proportional Caputo-hybrid operator. First, we propose a new integral identity with the help of twice-differentiable mappings for the proportional Caputo-hybrid operator. Then, with the help of this newly derived identity, we establish several integral inequalities related to the Milne-type integral inequalities for proportional Caputo-hybrid operator. Also, we obtain various Milne-type inequalities for bounded mappings and mappings of bounded variation. Finally, we point out that the obtained results enhance and generalize some of the previous findings in the field of integral inequalities. These results are the first kind of such results in this direction.
Açıklama
Anahtar Kelimeler
Milne-Type Inequalities, Convex Mappings, Bounded Mappings, Mappings Of Bounded Variation, Proportional Caputo-Hybrid Operator
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
26
Sayı
2
