Oscillatory behavior of Ψ-Hilfer generalized proportional fractional initial value problems

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dc.authorscopusid57217733908
dc.authorscopusid36662744100
dc.authorscopusid57217132593
dc.authorwosid/AAE-8451-2020
dc.contributor.authorViji, James
dc.contributor.authorMuthulakshmi, Velu
dc.contributor.authorKumar, Pushpendra
dc.date.accessioned2024-11-15T19:38:53Z
dc.date.available2024-11-15T19:38:53Z
dc.date.issued2024
dc.departmentOkan Universityen_US
dc.department-temp[Viji, James; Muthulakshmi, Velu] Periyar Univ, Dept Math, Salem, Tamilnadu, India; [Kumar, Pushpendra] Near East Univ TRNC, Math Res Ctr, Dept Math, Mersin, Turkiye; [Kumar, Pushpendra] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiyeen_US
dc.description.abstractThis paper deals with the oscillatory behavior of the Psi-Hilfer generalized proportional fractional initial value problem. Using the Volterra integral equation and Young's inequality, we establish sufficient conditions for each solution of the problem to oscillate. For the appropriate choice of the kernel Psi$$ \Psi $$, our obtained results generalize and recover some existing results in the literature. Additionally, we present some examples to emphasize the importance of our results.en_US
dc.description.sponsorshipDepartment of Science and Technology, India under the DST-INSPIRE Scheme [DST/INSPIRE Fellowship/2018/IF180260]en_US
dc.description.sponsorshipThe authors sincerely thank the editor and anonymous referees for their careful reading, constructive comments, and valuable suggestions, which have helped to improve the article. The first author would like to thank the Department of Science and Technology, India, for providing funds for this research under the DST-INSPIRE Scheme (No. DST/INSPIRE Fellowship/2018/IF180260).en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citation0
dc.identifier.doi10.1002/mma.10557
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-85208034539
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1002/mma.10557
dc.identifier.urihttps://hdl.handle.net/20.500.14517/7000
dc.identifier.wosWOS:001346034700001
dc.identifier.wosqualityQ1
dc.language.isoen
dc.publisherWileyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectnonoscillatory solutionen_US
dc.subjectoscillation criteriaen_US
dc.subjectPsi-Hilfer generalized proportional fractional derivativeen_US
dc.titleOscillatory behavior of Ψ-Hilfer generalized proportional fractional initial value problemsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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