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A Study of Positivity Analysis for Difference Operators in the Liouville-Caputo Setting

dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorGuirao, Juan Luis G.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAl-Sarairah, Eman
dc.contributor.authorJan, Rashid
dc.contributor.authorID: 56389tr_TR
dc.date.accessioned2023-11-23T08:56:10Z
dc.date.available2023-11-23T08:56:10Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe class of symmetric function interacts extensively with other types of functions. One of these is the class of positivity of functions, which is closely related to the theory of symmetry. Here, we propose a positive analysis technique to analyse a class of Liouville-Caputo difference equations of fractional-order with extremal conditions. Our monotonicity results use difference conditions ((LC)(a)delta(mu)f) (a + J(0) + 1 - mu) >= (1 - mu)f(a + J(0))and ((LC)(a)delta(mu)f) (a + J(0) + 1 -mu) <= (1 - mu)f (a + J(0)) to derive the corresponding relative minimum and maximum, respectively. We find alternative conditions corresponding to the main conditions in the main monotonicity results, which are simpler and stronger than the existing ones. Two numerical examples are solved by achieving the main conditions to verify the obtained monotonicity results.en_US
dc.description.publishedMonth2
dc.identifier.citationSrivastava, Hari Mohan...et.al. (2023). "A Study of Positivity Analysis for Difference Operators in the Liouville-Caputo Setting", Symmetry-Basel, Vol.15, No.2.en_US
dc.identifier.doi10.3390/sym15020391
dc.identifier.issn2073-8994
dc.identifier.issue2en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6600
dc.identifier.volume15en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetry-Baselen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLiouville–Caputo Fractional Operatorsen_US
dc.subjectPositivity Analysisen_US
dc.subjectMonotonicity Analysisen_US
dc.titleA Study of Positivity Analysis for Difference Operators in the Liouville-Caputo Settingtr_TR
dc.titleA Study of Positivity Analysis for Difference Operators in the Liouville-Caputo Settingen_US
dc.typeArticleen_US
dspace.entity.typePublication

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