@article{Başcı2023, 
author = {Yasemin Başcı and Dumitru Baleanu},
title = {On Hilbert-Pachpatte type inequalities within    ψ-Hilfer fractional generalized derivatives},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {14008-14026},
keywords = {Hilbert-Pachpatte type inequality, ψ-Hilfer fractional derivative, Riemann-Liouville derivative, homogeneous kernel, fractional derivative},
url = {https://www.sciopen.com/article/10.3934/math.2023716},
doi = {10.3934/math.2023716},
abstract = {In this manuscript, we discussed various new Hilbert-Pachpatte type inequalities implying the left sided    ψ-Hilfer fractional derivatives with the general kernel. Our results are a generalization of the inequalities of Pečarić and Vuković [1]. Furthermore, using the specific cases of the    ψ-Hilfer fractional derivative, we proceed with wide class of fractional derivatives by selecting    ψ,        a    1  ,        b    1   and considering the limit of the parameters    α and    β.}
}