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Analysis and numerical solution of the generalized proportional fractional Cauchy problem

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dc.contributor.author Boucenna, Djalal
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Makhlouf, Abdellatif Ben
dc.contributor.author Nagy, A. M.
dc.date.accessioned 2022-03-17T08:17:44Z
dc.date.available 2022-03-17T08:17:44Z
dc.date.issued 2021-09
dc.identifier.citation Boucenna, Djalal...et al. (2021). "Analysis and numerical solution of the generalized proportional fractional Cauchy problem", Applied Numerical Mathematics, Vol. 167, pp. 173-186. tr_TR
dc.identifier.issn 0168-9274
dc.identifier.uri http://hdl.handle.net/20.500.12416/5133
dc.description.abstract In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method. (C) 2021 IMACS. Published by Elsevier reserved. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.apnum.2021.04.015 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.subject Generalized Proportional Fractional Derivative tr_TR
dc.title Analysis and numerical solution of the generalized proportional fractional Cauchy problem tr_TR
dc.type article tr_TR
dc.relation.journal Applied Numerical Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 167 tr_TR
dc.identifier.startpage 173 tr_TR
dc.identifier.endpage 186 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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