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New Aspects of Opial-Type Integral Inequalities

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Basci, Yasemin
dc.date.accessioned 2019-12-19T13:51:48Z
dc.date.accessioned 2025-09-18T15:45:15Z
dc.date.available 2019-12-19T13:51:48Z
dc.date.available 2025-09-18T15:45:15Z
dc.date.issued 2018
dc.description.abstract 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. en_US
dc.identifier.citation Basci, Yasemin; Baleanu, Dumitru (2018). New aspects of Opial-type integral inequalities, Advances in Difference Equations. en_US
dc.identifier.doi 10.1186/s13662-018-1912-4
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85057992674
dc.identifier.uri https://doi.org/10.1186/s13662-018-1912-4
dc.identifier.uri https://hdl.handle.net/20.500.12416/14535
dc.language.iso en en_US
dc.publisher Springeropen en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Opial-Type Inequality en_US
dc.subject The Left Operator en_US
dc.subject The Right Operator en_US
dc.subject The Left Integral en_US
dc.subject The Right Integral en_US
dc.subject Caputo-Fabrizio Fractional Derivative en_US
dc.title New Aspects of Opial-Type Integral Inequalities en_US
dc.title New aspects of Opial-type integral inequalities tr_TR
dc.type Article en_US
dspace.entity.type Publication
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Basci, Yasemin] Abant Izzet Baysal Univ, Fac Arts & Sci, Dept Math, Bolu, Turkey; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2018
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gdc.oaire.keywords The Right Integral
gdc.oaire.keywords Generalization
gdc.oaire.keywords The Left Operator
gdc.oaire.keywords Matrix Inequalities and Geometric Means
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Invertible matrix
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Opial-type inequality
gdc.oaire.keywords Operator Inequalities
gdc.oaire.keywords Fractional Integrals
gdc.oaire.keywords Differential equation
gdc.oaire.keywords The Left Integral
gdc.oaire.keywords Caputo-Fabrizio Fractional Derivative
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gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
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gdc.oaire.keywords Opial-Type Inequality
gdc.oaire.keywords Inequality
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gdc.oaire.keywords Dentistry
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Kernel (algebra)
gdc.oaire.keywords Medicine
gdc.oaire.keywords The Right Operator
gdc.oaire.keywords Calculus (dental)
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords right operator
gdc.oaire.keywords Denjoy and Perron integrals, other special integrals
gdc.oaire.keywords left operator
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Inequalities involving derivatives and differential and integral operators
gdc.oaire.keywords Integrals of Riemann, Stieltjes and Lebesgue type
gdc.oaire.keywords Inequalities for sums, series and integrals
gdc.oaire.keywords Convexity of real functions in one variable, generalizations
gdc.oaire.keywords Caputo-Fabrizio fractional derivative
gdc.oaire.keywords left integral
gdc.oaire.keywords right integral
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