On Hilbert-Pachpatte Type Inequalities Within ?-Hilfer Fractional Generalized Derivatives
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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.
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Keywords
Hilbert-Pachpatte Type Inequality, -Hilfer Fractional Derivative, Riemann-Liouville Derivative, Homogeneous Kernel, Fractional Derivative, ψ-Hilfer 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
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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.
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8
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6
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14008
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14026
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