On Hilbert-Pachpatte Type Inequalities Within ?-Hilfer Fractional Generalized Derivatives
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Date
2023
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Publisher
Amer inst Mathematical Sciences-aims
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GOLD
Green Open Access
Yes
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25
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25
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Abstract
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.
Description
Keywords
Hilbert-Pachpatte Type Inequality, -Hilfer Fractional Derivative, Riemann-Liouville Derivative, Homogeneous Kernel, Fractional Derivative, $ \psi $-hilfer fractional derivative, Hilfer Fractional Derivative, Homogeneous Kernel, hilbert-pachpatte type inequality, Hilbert-Pachpatte Type Inequality, riemann-liouville derivative, QA1-939, fractional derivative, Fractional Derivative, Riemann-Liouville Derivative, homogeneous kernel, Mathematics
Fields of Science
Citation
Başcı, Y.; Baleanu, D. (2023). "On Hilbert-Pachpatte type inequalities within ψ-Hilfer fractional generalized derivatives", AIMS Mathematics, Vol.8, No.6, pp.14008-14026.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
N/A
Source
AIMS Mathematics
Volume
8
Issue
6
Start Page
14008
End Page
14026
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