Browsing by Author "Basci, Yasemin"

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Citation - WoS: 9
Citation - Scopus: 10
Hardy-Type Inequalities Within Fractional Derivatives Without Singular Kernel
(Springeropen, 2018) Baleanu, Dumitru; Basci, Yasemin
In this manuscript, we developed the Hardy-type inequality within the Caputo-Fabrizio fractional derivative. We presented some illustrative examples to confirm our work.
Citation - WoS: 9
Citation - Scopus: 11
New Aspects of Opial-Type Integral Inequalities
(Springeropen, 2018) Baleanu, Dumitru; Basci, Yasemin
In this manuscript, we prove new aspects for several Opial-type integral inequalities for the left and right Caputo-Fabrizio operators with nonsingular kernel. For this purpose we use the inequalities obtained by Andri et al. (Integral Transforms Spec. Funct. 25(4):324-335, 2014), which is the generalization of an inequality of Agarwal and Pang (Opial Inequalities with Applications in Differential and Difference Equations, 1995). Besides, examples are presented to validate the reported results.
On Hilbert-Pachpatte Type Inequalities Within ?-Hilfer Fractional Generalized Derivatives
(Amer inst Mathematical Sciences-aims, 2023) Baleanu, Dumitru; Basci, Yasemin
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.
Citation - WoS: 18
Citation - Scopus: 25
Ostrowski Type Inequalities Involving Ψ-Hilfer Fractional Integrals
(Mdpi, 2019) Baleanu, Dumitru; Basci, Yasemin
In this study we introduce several new Ostrowski-type inequalities for both left and right sided fractional integrals of a function g with respect to another function psi. Our results generalized the ones presented previously by Farid. Furthermore, two illustrative examples are presented to support our results.