On Hilbert-Pachpatte type inequalities within ?-Hilfer fractional generalized derivatives

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Küçük Resim

Tarih

2023

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.