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Analysis of the family of integral equation involving incomplete types of I and Ī-functions

dc.contributor.authorBhatter, Sanjay
dc.contributor.authorJangid, Kamlesh
dc.contributor.authorKumawat, Shyamsunder
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorSuthar, D.L.
dc.contributor.authorPurohit, Sunil Dutt
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-05-28T13:27:54Z
dc.date.available2024-05-28T13:27:54Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete (Formula presented.) -function (I (Formula presented.) F) in its kernel. First, using fractional calculus and the Mellin transform principle, we solve an integral problem involving IIF. The idea of the Mellin transform and fractional calculus is then used to analyse an integral equation using the incomplete (Formula presented.) -function. This is followed by the discovery and investigation of several important exceptional cases. This article's general discoveries may yield new integral equations and solutions. The desired outcomes seem to be very helpful in resolving many real-world problems whose solutions represent different physical phenomena. And also, findings help solve introdifferential, fractional differential, and extended integral equation problems.en_US
dc.identifier.citationBhatter, Sanjay...et al. (2023). "Analysis of the family of integral equation involving incomplete types of I and Ī-functions", Applied Mathematics in Science and Engineering, Vol. 31, No. 1.en_US
dc.identifier.doi10.1080/27690911.2023.2165280
dc.identifier.issn2769-0911
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8418
dc.identifier.volume31en_US
dc.language.isoenen_US
dc.relation.ispartofApplied Mathematics in Science and Engineeringen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFredholm-Type Integral Equationsen_US
dc.subjectI Fen_US
dc.subjectIIFen_US
dc.subjectMellin Transformen_US
dc.subjectWeyl Fractional Integralen_US
dc.titleAnalysis of the family of integral equation involving incomplete types of I and Ī-functionstr_TR
dc.titleAnalysis of the Family of Integral Equation Involving Incomplete Types of I and Ī-Functionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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