On generalized ψ-conformable calculus: Properties and inequalities
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first introduce a new fractional derivatives and integrals called generalized psi-conformable derivative and generalized psi-conformable integral operators, respectively. We also show that these operators generalize various well-known fractional integral operators. Then, we present several properties of these operators including semi-group property. Moreover, we apply these operators to obtain a new Hermite-Hadamard-type inequality for convex functions. Furthermore, we obtain corresponding midpoint and trapezoid type inequalities for functions whose derivatives in absolute value are convex.
Açıklama
Anahtar Kelimeler
Fractional conformable integrals, fractional conformable derivative, Hermite-Hadamard inequality
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
38
Sayı
25
