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An Analytical Study Of Fractional Delay Impulsive Implicit Systems With Mittag-Leffler Law

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dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Shah, Kamal
dc.contributor.author Abdo, Mohammed S.
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2023-11-24T11:42:29Z
dc.date.available 2023-11-24T11:42:29Z
dc.date.issued 2023
dc.identifier.citation Thabet, Abdeljawad...et.al. (2023). "An Analytical Study Of Fractional Delay Impulsive Implicit Systems With Mittag-Leffler Law", Applied and Computational Mathematics, Vol.22, No.1, pp.34-44. tr_TR
dc.identifier.issn 16833511
dc.identifier.uri http://hdl.handle.net/20.500.12416/6624
dc.description.abstract The Atangana-Baleanu-Caputo fractional derivative is a novel operator with a non-singular Mittag-Leffler kernel that we use to solve a class of Cauchy problems for delay impulsive implicit fractional differential equations. We also show the existence and uniqueness of the solution to the proposed problem. Our study makes use of the Gro center dot nwall inequality in the context of the Atangana-Baleanu fractional integral. Additionally, by the use of fixed point theorems due to Banach, Schaefer, and nonlinear functional analysis, necessary and sufficient conditions are developed under which the considered problem has at least one solution. By providing a relevant example, the results are demonstrated. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.30546/1683-6154.22.1.2023.31 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject ABC Fractional Operator tr_TR
dc.subject Existence Theory tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Gronwall’s Inequality tr_TR
dc.subject Impulsive Problems tr_TR
dc.title An Analytical Study Of Fractional Delay Impulsive Implicit Systems With Mittag-Leffler Law tr_TR
dc.type article tr_TR
dc.relation.journal Applied and Computational Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 22 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 34 tr_TR
dc.identifier.endpage 44 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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