Analysis and numerical solution of the generalized proportional fractional Cauchy problem

Boucenna, Djalal; Baleanu, Dumitru; Makhlouf, Abdellatif Ben; Nagy, A. M.

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