On Hilbert-Pachpatte type inequalities within ?-Hilfer fractional generalized derivatives
Yükleniyor...
Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences-AIMS
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this manuscript, we discussed various new Hilbert-Pachpatte type inequalities implying the left sided psi-Hilfer fractional derivatives with the general kernel. Our results are a generalization of the inequalities of Pecaric ' and Vukovic ' [1]. Furthermore, using the specific cases of the psi-Hilfer fractional derivative, we proceed with wide class of fractional derivatives by selecting psi, a1, b1 and considering the limit of the parameters alpha and beta.
Açıklama
Anahtar Kelimeler
Hilbert-Pachpatte Type Inequality, ψ-Hilfer Fractional Derivative, Riemann-Liouville Derivative, Homogeneous Kernel, Fractional Derivative
Kaynak
AIMS Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
8
Sayı
6
Künye
Bascı, Y., & Baleanu, D. (2023). On Hilbert-Pachpatte type inequalities within ψ-Hilfer fractional generalized derivatives. AIMS Mathematics, 8(6), 14008-14026.